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Finding the Fourth Proportional to 5,270.61, 7,905.92 and 1,374.98

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Solution

The fourth proportional to 5,270.61, 7,905.92 and 1,374.98 is: 2,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.61 : 7,905.92 = 1,374.98 : x
  2. Step 2: Convert to fraction form
    5,270.61/7,905.92 = 1,374.98/x
  3. Step 3: Cross multiply
    5,270.61x = 7,905.92 × 1,374.98
  4. Step 4: Simplify right side
    5,270.61x = 10,870,494.77
  5. Step 5: Solve for x
    x = 10,870,494.77/5,270.61
  6. Step 6: Final answer
    x = 2,062.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.