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Finding the Fourth Proportional to 5,684,673.71, 7,844,870.63 and 3,106,354.88

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Solution

The fourth proportional to 5,684,673.71, 7,844,870.63 and 3,106,354.88 is: 4,286,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,673.71 : 7,844,870.63 = 3,106,354.88 : x
  2. Step 2: Convert to fraction form
    5,684,673.71/7,844,870.63 = 3,106,354.88/x
  3. Step 3: Cross multiply
    5,684,673.71x = 7,844,870.63 × 3,106,354.88
  4. Step 4: Simplify right side
    5,684,673.71x = 24,368,952,164,469.17
  5. Step 5: Solve for x
    x = 24,368,952,164,469.17/5,684,673.71
  6. Step 6: Final answer
    x = 4,286,781.16

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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.