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Finding the Fourth Proportional to 3,264.76, 4,897.55 and 1,073.71

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Solution

The fourth proportional to 3,264.76, 4,897.55 and 1,073.71 is: 1,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.76 : 4,897.55 = 1,073.71 : x
  2. Step 2: Convert to fraction form
    3,264.76/4,897.55 = 1,073.71/x
  3. Step 3: Cross multiply
    3,264.76x = 4,897.55 × 1,073.71
  4. Step 4: Simplify right side
    3,264.76x = 5,258,548.41
  5. Step 5: Solve for x
    x = 5,258,548.41/3,264.76
  6. Step 6: Final answer
    x = 1,610.70

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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.