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Finding the Fourth Proportional to 5,496.72, 7,585.29 and 3,138.74

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Solution

The fourth proportional to 5,496.72, 7,585.29 and 3,138.74 is: 4,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.72 : 7,585.29 = 3,138.74 : x
  2. Step 2: Convert to fraction form
    5,496.72/7,585.29 = 3,138.74/x
  3. Step 3: Cross multiply
    5,496.72x = 7,585.29 × 3,138.74
  4. Step 4: Simplify right side
    5,496.72x = 23,808,253.13
  5. Step 5: Solve for x
    x = 23,808,253.13/5,496.72
  6. Step 6: Final answer
    x = 4,331.36

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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.