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Finding the Fourth Proportional to 4,665.42, 6,999.12 and 1,545.66

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Solution

The fourth proportional to 4,665.42, 6,999.12 and 1,545.66 is: 2,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.42 : 6,999.12 = 1,545.66 : x
  2. Step 2: Convert to fraction form
    4,665.42/6,999.12 = 1,545.66/x
  3. Step 3: Cross multiply
    4,665.42x = 6,999.12 × 1,545.66
  4. Step 4: Simplify right side
    4,665.42x = 10,818,259.82
  5. Step 5: Solve for x
    x = 10,818,259.82/4,665.42
  6. Step 6: Final answer
    x = 2,318.82

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