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Finding the Fourth Proportional to 4,362.52, 6,543.85 and 4,140.98

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Solution

The fourth proportional to 4,362.52, 6,543.85 and 4,140.98 is: 6,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.52 : 6,543.85 = 4,140.98 : x
  2. Step 2: Convert to fraction form
    4,362.52/6,543.85 = 4,140.98/x
  3. Step 3: Cross multiply
    4,362.52x = 6,543.85 × 4,140.98
  4. Step 4: Simplify right side
    4,362.52x = 27,097,957.98
  5. Step 5: Solve for x
    x = 27,097,957.98/4,362.52
  6. Step 6: Final answer
    x = 6,211.54

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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.