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Finding the Fourth Proportional to 4,682.84, 6,462 and 2,587.04

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Solution

The fourth proportional to 4,682.84, 6,462 and 2,587.04 is: 3,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.84 : 6,462 = 2,587.04 : x
  2. Step 2: Convert to fraction form
    4,682.84/6,462 = 2,587.04/x
  3. Step 3: Cross multiply
    4,682.84x = 6,462 × 2,587.04
  4. Step 4: Simplify right side
    4,682.84x = 16,717,452.48
  5. Step 5: Solve for x
    x = 16,717,452.48/4,682.84
  6. Step 6: Final answer
    x = 3,569.94

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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.