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Finding the Fourth Proportional to 3,514.80, 4,854 and 2,465.04

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Solution

The fourth proportional to 3,514.80, 4,854 and 2,465.04 is: 3,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.80 : 4,854 = 2,465.04 : x
  2. Step 2: Convert to fraction form
    3,514.80/4,854 = 2,465.04/x
  3. Step 3: Cross multiply
    3,514.80x = 4,854 × 2,465.04
  4. Step 4: Simplify right side
    3,514.80x = 11,965,304.16
  5. Step 5: Solve for x
    x = 11,965,304.16/3,514.80
  6. Step 6: Final answer
    x = 3,404.26

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