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Finding the Fourth Proportional to 5,614.78, 8,417.60 and 2,102.82

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Solution

The fourth proportional to 5,614.78, 8,417.60 and 2,102.82 is: 3,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.78 : 8,417.60 = 2,102.82 : x
  2. Step 2: Convert to fraction form
    5,614.78/8,417.60 = 2,102.82/x
  3. Step 3: Cross multiply
    5,614.78x = 8,417.60 × 2,102.82
  4. Step 4: Simplify right side
    5,614.78x = 17,700,697.63
  5. Step 5: Solve for x
    x = 17,700,697.63/5,614.78
  6. Step 6: Final answer
    x = 3,152.52

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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.