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Finding the Fourth Proportional to 5,044.71, 7,567.03 and 1,296.47

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Solution

The fourth proportional to 5,044.71, 7,567.03 and 1,296.47 is: 1,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.71 : 7,567.03 = 1,296.47 : x
  2. Step 2: Convert to fraction form
    5,044.71/7,567.03 = 1,296.47/x
  3. Step 3: Cross multiply
    5,044.71x = 7,567.03 × 1,296.47
  4. Step 4: Simplify right side
    5,044.71x = 9,810,443.06
  5. Step 5: Solve for x
    x = 9,810,443.06/5,044.71
  6. Step 6: Final answer
    x = 1,944.70

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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.