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Finding the Fourth Proportional to 5,132.16, 7,696.80 and 1,671.84

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Solution

The fourth proportional to 5,132.16, 7,696.80 and 1,671.84 is: 2,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.16 : 7,696.80 = 1,671.84 : x
  2. Step 2: Convert to fraction form
    5,132.16/7,696.80 = 1,671.84/x
  3. Step 3: Cross multiply
    5,132.16x = 7,696.80 × 1,671.84
  4. Step 4: Simplify right side
    5,132.16x = 12,867,818.11
  5. Step 5: Solve for x
    x = 12,867,818.11/5,132.16
  6. Step 6: Final answer
    x = 2,507.29

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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.