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Finding the Fourth Proportional to 5,702,184.64, 7,869,391.04 and 3,255,291.36

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Solution

The fourth proportional to 5,702,184.64, 7,869,391.04 and 3,255,291.36 is: 4,492,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,184.64 : 7,869,391.04 = 3,255,291.36 : x
  2. Step 2: Convert to fraction form
    5,702,184.64/7,869,391.04 = 3,255,291.36/x
  3. Step 3: Cross multiply
    5,702,184.64x = 7,869,391.04 × 3,255,291.36
  4. Step 4: Simplify right side
    5,702,184.64x = 25,617,160,660,973.41
  5. Step 5: Solve for x
    x = 25,617,160,660,973.41/5,702,184.64
  6. Step 6: Final answer
    x = 4,492,516.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.