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Finding the Fourth Proportional to 3,534.38, 4,878.08 and 2,642.60

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Solution

The fourth proportional to 3,534.38, 4,878.08 and 2,642.60 is: 3,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.38 : 4,878.08 = 2,642.60 : x
  2. Step 2: Convert to fraction form
    3,534.38/4,878.08 = 2,642.60/x
  3. Step 3: Cross multiply
    3,534.38x = 4,878.08 × 2,642.60
  4. Step 4: Simplify right side
    3,534.38x = 12,890,833.01
  5. Step 5: Solve for x
    x = 12,890,833.01/3,534.38
  6. Step 6: Final answer
    x = 3,647.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.