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Finding the Fourth Proportional to 4,666.40, 6,998.12 and 1,545.82

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Solution

The fourth proportional to 4,666.40, 6,998.12 and 1,545.82 is: 2,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.40 : 6,998.12 = 1,545.82 : x
  2. Step 2: Convert to fraction form
    4,666.40/6,998.12 = 1,545.82/x
  3. Step 3: Cross multiply
    4,666.40x = 6,998.12 × 1,545.82
  4. Step 4: Simplify right side
    4,666.40x = 10,817,833.86
  5. Step 5: Solve for x
    x = 10,817,833.86/4,666.40
  6. Step 6: Final answer
    x = 2,318.24

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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.