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Finding the Fourth Proportional to 3,578.52, 5,363.90 and 1,386.60

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Solution

The fourth proportional to 3,578.52, 5,363.90 and 1,386.60 is: 2,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.52 : 5,363.90 = 1,386.60 : x
  2. Step 2: Convert to fraction form
    3,578.52/5,363.90 = 1,386.60/x
  3. Step 3: Cross multiply
    3,578.52x = 5,363.90 × 1,386.60
  4. Step 4: Simplify right side
    3,578.52x = 7,437,583.74
  5. Step 5: Solve for x
    x = 7,437,583.74/3,578.52
  6. Step 6: Final answer
    x = 2,078.40

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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.