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Finding the Fourth Proportional to 5,412.52, 7,468.02 and 3,735.40

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Solution

The fourth proportional to 5,412.52, 7,468.02 and 3,735.40 is: 5,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.52 : 7,468.02 = 3,735.40 : x
  2. Step 2: Convert to fraction form
    5,412.52/7,468.02 = 3,735.40/x
  3. Step 3: Cross multiply
    5,412.52x = 7,468.02 × 3,735.40
  4. Step 4: Simplify right side
    5,412.52x = 27,896,041.91
  5. Step 5: Solve for x
    x = 27,896,041.91/5,412.52
  6. Step 6: Final answer
    x = 5,153.98

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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.