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Finding the Fourth Proportional to 5,264.76, 7,897.62 and 3,895.08

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Solution

The fourth proportional to 5,264.76, 7,897.62 and 3,895.08 is: 5,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.76 : 7,897.62 = 3,895.08 : x
  2. Step 2: Convert to fraction form
    5,264.76/7,897.62 = 3,895.08/x
  3. Step 3: Cross multiply
    5,264.76x = 7,897.62 × 3,895.08
  4. Step 4: Simplify right side
    5,264.76x = 30,761,861.71
  5. Step 5: Solve for x
    x = 30,761,861.71/5,264.76
  6. Step 6: Final answer
    x = 5,842.98

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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.