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Finding the Fourth Proportional to 5,487.60, 7,564.08 and 4,306.68

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Solution

The fourth proportional to 5,487.60, 7,564.08 and 4,306.68 is: 5,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.60 : 7,564.08 = 4,306.68 : x
  2. Step 2: Convert to fraction form
    5,487.60/7,564.08 = 4,306.68/x
  3. Step 3: Cross multiply
    5,487.60x = 7,564.08 × 4,306.68
  4. Step 4: Simplify right side
    5,487.60x = 32,576,072.05
  5. Step 5: Solve for x
    x = 32,576,072.05/5,487.60
  6. Step 6: Final answer
    x = 5,936.31

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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.