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Finding the Fourth Proportional to 5,740.16, 8,602.14 and 5,045.20

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Solution

The fourth proportional to 5,740.16, 8,602.14 and 5,045.20 is: 7,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.16 : 8,602.14 = 5,045.20 : x
  2. Step 2: Convert to fraction form
    5,740.16/8,602.14 = 5,045.20/x
  3. Step 3: Cross multiply
    5,740.16x = 8,602.14 × 5,045.20
  4. Step 4: Simplify right side
    5,740.16x = 43,399,516.73
  5. Step 5: Solve for x
    x = 43,399,516.73/5,740.16
  6. Step 6: Final answer
    x = 7,560.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.