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Finding the Fourth Proportional to 3,583.68, 5,377.06 and 1,853.52

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Solution

The fourth proportional to 3,583.68, 5,377.06 and 1,853.52 is: 2,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.68 : 5,377.06 = 1,853.52 : x
  2. Step 2: Convert to fraction form
    3,583.68/5,377.06 = 1,853.52/x
  3. Step 3: Cross multiply
    3,583.68x = 5,377.06 × 1,853.52
  4. Step 4: Simplify right side
    3,583.68x = 9,966,488.25
  5. Step 5: Solve for x
    x = 9,966,488.25/3,583.68
  6. Step 6: Final answer
    x = 2,781.08

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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.