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Finding the Fourth Proportional to 3,735.20, 5,602.80 and 1,543.95

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Solution

The fourth proportional to 3,735.20, 5,602.80 and 1,543.95 is: 2,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.20 : 5,602.80 = 1,543.95 : x
  2. Step 2: Convert to fraction form
    3,735.20/5,602.80 = 1,543.95/x
  3. Step 3: Cross multiply
    3,735.20x = 5,602.80 × 1,543.95
  4. Step 4: Simplify right side
    3,735.20x = 8,650,443.06
  5. Step 5: Solve for x
    x = 8,650,443.06/3,735.20
  6. Step 6: Final answer
    x = 2,315.93

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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.