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Finding the Fourth Proportional to 5,614.80, 8,420.64 and 1,666.92

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Solution

The fourth proportional to 5,614.80, 8,420.64 and 1,666.92 is: 2,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.80 : 8,420.64 = 1,666.92 : x
  2. Step 2: Convert to fraction form
    5,614.80/8,420.64 = 1,666.92/x
  3. Step 3: Cross multiply
    5,614.80x = 8,420.64 × 1,666.92
  4. Step 4: Simplify right side
    5,614.80x = 14,036,533.23
  5. Step 5: Solve for x
    x = 14,036,533.23/5,614.80
  6. Step 6: Final answer
    x = 2,499.92

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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.