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Finding the Fourth Proportional to 3,925.80, 5,418 and 2,582.82

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Solution

The fourth proportional to 3,925.80, 5,418 and 2,582.82 is: 3,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.80 : 5,418 = 2,582.82 : x
  2. Step 2: Convert to fraction form
    3,925.80/5,418 = 2,582.82/x
  3. Step 3: Cross multiply
    3,925.80x = 5,418 × 2,582.82
  4. Step 4: Simplify right side
    3,925.80x = 13,993,718.76
  5. Step 5: Solve for x
    x = 13,993,718.76/3,925.80
  6. Step 6: Final answer
    x = 3,564.55

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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.