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Finding the Fourth Proportional to 3,389.64, 5,085.71 and 1,168.70

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Solution

The fourth proportional to 3,389.64, 5,085.71 and 1,168.70 is: 1,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.64 : 5,085.71 = 1,168.70 : x
  2. Step 2: Convert to fraction form
    3,389.64/5,085.71 = 1,168.70/x
  3. Step 3: Cross multiply
    3,389.64x = 5,085.71 × 1,168.70
  4. Step 4: Simplify right side
    3,389.64x = 5,943,638.00
  5. Step 5: Solve for x
    x = 5,943,638.00/3,389.64
  6. Step 6: Final answer
    x = 1,753.47

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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.