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Finding the Fourth Proportional to 6,154.68, 9,232.80 and 2,258.52

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Solution

The fourth proportional to 6,154.68, 9,232.80 and 2,258.52 is: 3,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.68 : 9,232.80 = 2,258.52 : x
  2. Step 2: Convert to fraction form
    6,154.68/9,232.80 = 2,258.52/x
  3. Step 3: Cross multiply
    6,154.68x = 9,232.80 × 2,258.52
  4. Step 4: Simplify right side
    6,154.68x = 20,852,463.46
  5. Step 5: Solve for x
    x = 20,852,463.46/6,154.68
  6. Step 6: Final answer
    x = 3,388.07

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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.