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Finding the Fourth Proportional to 3,509.90, 5,263.70 and 1,169.40

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Solution

The fourth proportional to 3,509.90, 5,263.70 and 1,169.40 is: 1,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.90 : 5,263.70 = 1,169.40 : x
  2. Step 2: Convert to fraction form
    3,509.90/5,263.70 = 1,169.40/x
  3. Step 3: Cross multiply
    3,509.90x = 5,263.70 × 1,169.40
  4. Step 4: Simplify right side
    3,509.90x = 6,155,370.78
  5. Step 5: Solve for x
    x = 6,155,370.78/3,509.90
  6. Step 6: Final answer
    x = 1,753.72

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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.