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Finding the Fourth Proportional to 4,386.80, 6,585.40 and 3,463

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Solution

The fourth proportional to 4,386.80, 6,585.40 and 3,463 is: 5,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386.80 : 6,585.40 = 3,463 : x
  2. Step 2: Convert to fraction form
    4,386.80/6,585.40 = 3,463/x
  3. Step 3: Cross multiply
    4,386.80x = 6,585.40 × 3,463
  4. Step 4: Simplify right side
    4,386.80x = 22,805,240.20
  5. Step 5: Solve for x
    x = 22,805,240.20/4,386.80
  6. Step 6: Final answer
    x = 5,198.60

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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.