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Finding the Fourth Proportional to 3,437.76, 5,152.80 and 3,160.98

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Solution

The fourth proportional to 3,437.76, 5,152.80 and 3,160.98 is: 4,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.76 : 5,152.80 = 3,160.98 : x
  2. Step 2: Convert to fraction form
    3,437.76/5,152.80 = 3,160.98/x
  3. Step 3: Cross multiply
    3,437.76x = 5,152.80 × 3,160.98
  4. Step 4: Simplify right side
    3,437.76x = 16,287,897.74
  5. Step 5: Solve for x
    x = 16,287,897.74/3,437.76
  6. Step 6: Final answer
    x = 4,737.94

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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.