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Finding the Fourth Proportional to 5,664.32, 8,438.08 and 5,492.36

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Solution

The fourth proportional to 5,664.32, 8,438.08 and 5,492.36 is: 8,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.32 : 8,438.08 = 5,492.36 : x
  2. Step 2: Convert to fraction form
    5,664.32/8,438.08 = 5,492.36/x
  3. Step 3: Cross multiply
    5,664.32x = 8,438.08 × 5,492.36
  4. Step 4: Simplify right side
    5,664.32x = 46,344,973.07
  5. Step 5: Solve for x
    x = 46,344,973.07/5,664.32
  6. Step 6: Final answer
    x = 8,181.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.