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Finding the Fourth Proportional to 3,132.16, 4,696.00 and 1,571.02

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Solution

The fourth proportional to 3,132.16, 4,696.00 and 1,571.02 is: 2,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.16 : 4,696.00 = 1,571.02 : x
  2. Step 2: Convert to fraction form
    3,132.16/4,696.00 = 1,571.02/x
  3. Step 3: Cross multiply
    3,132.16x = 4,696.00 × 1,571.02
  4. Step 4: Simplify right side
    3,132.16x = 7,377,494.25
  5. Step 5: Solve for x
    x = 7,377,494.25/3,132.16
  6. Step 6: Final answer
    x = 2,355.40

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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.