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Finding the Fourth Proportional to 5,562.47, 8,343.98 and 1,666.50

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Solution

The fourth proportional to 5,562.47, 8,343.98 and 1,666.50 is: 2,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.47 : 8,343.98 = 1,666.50 : x
  2. Step 2: Convert to fraction form
    5,562.47/8,343.98 = 1,666.50/x
  3. Step 3: Cross multiply
    5,562.47x = 8,343.98 × 1,666.50
  4. Step 4: Simplify right side
    5,562.47x = 13,905,234.34
  5. Step 5: Solve for x
    x = 13,905,234.34/5,562.47
  6. Step 6: Final answer
    x = 2,499.83

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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.