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Finding the Fourth Proportional to 3,355.47, 5,034.57 and 1,506.10

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Solution

The fourth proportional to 3,355.47, 5,034.57 and 1,506.10 is: 2,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.47 : 5,034.57 = 1,506.10 : x
  2. Step 2: Convert to fraction form
    3,355.47/5,034.57 = 1,506.10/x
  3. Step 3: Cross multiply
    3,355.47x = 5,034.57 × 1,506.10
  4. Step 4: Simplify right side
    3,355.47x = 7,582,565.88
  5. Step 5: Solve for x
    x = 7,582,565.88/3,355.47
  6. Step 6: Final answer
    x = 2,259.76

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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.