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Finding the Fourth Proportional to 5,543.60, 8,317.02 and 1,648.10

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Solution

The fourth proportional to 5,543.60, 8,317.02 and 1,648.10 is: 2,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.60 : 8,317.02 = 1,648.10 : x
  2. Step 2: Convert to fraction form
    5,543.60/8,317.02 = 1,648.10/x
  3. Step 3: Cross multiply
    5,543.60x = 8,317.02 × 1,648.10
  4. Step 4: Simplify right side
    5,543.60x = 13,707,280.66
  5. Step 5: Solve for x
    x = 13,707,280.66/5,543.60
  6. Step 6: Final answer
    x = 2,472.63

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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.