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Finding the Fourth Proportional to 5,642.96, 7,787.12 and 3,125.16

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Solution

The fourth proportional to 5,642.96, 7,787.12 and 3,125.16 is: 4,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.96 : 7,787.12 = 3,125.16 : x
  2. Step 2: Convert to fraction form
    5,642.96/7,787.12 = 3,125.16/x
  3. Step 3: Cross multiply
    5,642.96x = 7,787.12 × 3,125.16
  4. Step 4: Simplify right side
    5,642.96x = 24,335,980.31
  5. Step 5: Solve for x
    x = 24,335,980.31/5,642.96
  6. Step 6: Final answer
    x = 4,312.63

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1.5x scale

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.