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Finding the Fourth Proportional to 3,498.65, 5,248.53 and 1,033.15

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Solution

The fourth proportional to 3,498.65, 5,248.53 and 1,033.15 is: 1,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.65 : 5,248.53 = 1,033.15 : x
  2. Step 2: Convert to fraction form
    3,498.65/5,248.53 = 1,033.15/x
  3. Step 3: Cross multiply
    3,498.65x = 5,248.53 × 1,033.15
  4. Step 4: Simplify right side
    3,498.65x = 5,422,518.77
  5. Step 5: Solve for x
    x = 5,422,518.77/3,498.65
  6. Step 6: Final answer
    x = 1,549.89

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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.