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Finding the Fourth Proportional to 4,665.60, 7,000.02 and 1,545.48

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Solution

The fourth proportional to 4,665.60, 7,000.02 and 1,545.48 is: 2,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.60 : 7,000.02 = 1,545.48 : x
  2. Step 2: Convert to fraction form
    4,665.60/7,000.02 = 1,545.48/x
  3. Step 3: Cross multiply
    4,665.60x = 7,000.02 × 1,545.48
  4. Step 4: Simplify right side
    4,665.60x = 10,818,390.91
  5. Step 5: Solve for x
    x = 10,818,390.91/4,665.60
  6. Step 6: Final answer
    x = 2,318.76

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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.