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Finding the Fourth Proportional to 5,132.97, 7,693.06 and 2,356.69

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Solution

The fourth proportional to 5,132.97, 7,693.06 and 2,356.69 is: 3,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.97 : 7,693.06 = 2,356.69 : x
  2. Step 2: Convert to fraction form
    5,132.97/7,693.06 = 2,356.69/x
  3. Step 3: Cross multiply
    5,132.97x = 7,693.06 × 2,356.69
  4. Step 4: Simplify right side
    5,132.97x = 18,130,157.57
  5. Step 5: Solve for x
    x = 18,130,157.57/5,132.97
  6. Step 6: Final answer
    x = 3,532.10

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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.