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Finding the Fourth Proportional to 5,406.48, 7,463.88 and 3,736.87

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Solution

The fourth proportional to 5,406.48, 7,463.88 and 3,736.87 is: 5,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.48 : 7,463.88 = 3,736.87 : x
  2. Step 2: Convert to fraction form
    5,406.48/7,463.88 = 3,736.87/x
  3. Step 3: Cross multiply
    5,406.48x = 7,463.88 × 3,736.87
  4. Step 4: Simplify right side
    5,406.48x = 27,891,549.26
  5. Step 5: Solve for x
    x = 27,891,549.26/5,406.48
  6. Step 6: Final answer
    x = 5,158.91

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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.