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Finding the Fourth Proportional to 5,000.32, 6,892.16 and 3,756.16

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Solution

The fourth proportional to 5,000.32, 6,892.16 and 3,756.16 is: 5,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.32 : 6,892.16 = 3,756.16 : x
  2. Step 2: Convert to fraction form
    5,000.32/6,892.16 = 3,756.16/x
  3. Step 3: Cross multiply
    5,000.32x = 6,892.16 × 3,756.16
  4. Step 4: Simplify right side
    5,000.32x = 25,888,055.71
  5. Step 5: Solve for x
    x = 25,888,055.71/5,000.32
  6. Step 6: Final answer
    x = 5,177.28

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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.