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Finding the Fourth Proportional to 5,646.90, 8,470.28 and 1,751.31

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Solution

The fourth proportional to 5,646.90, 8,470.28 and 1,751.31 is: 2,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.90 : 8,470.28 = 1,751.31 : x
  2. Step 2: Convert to fraction form
    5,646.90/8,470.28 = 1,751.31/x
  3. Step 3: Cross multiply
    5,646.90x = 8,470.28 × 1,751.31
  4. Step 4: Simplify right side
    5,646.90x = 14,834,077.31
  5. Step 5: Solve for x
    x = 14,834,077.31/5,646.90
  6. Step 6: Final answer
    x = 2,626.94

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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.