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Finding the Fourth Proportional to 4,878.04, 6,730.68 and 2,781.76

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Solution

The fourth proportional to 4,878.04, 6,730.68 and 2,781.76 is: 3,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.04 : 6,730.68 = 2,781.76 : x
  2. Step 2: Convert to fraction form
    4,878.04/6,730.68 = 2,781.76/x
  3. Step 3: Cross multiply
    4,878.04x = 6,730.68 × 2,781.76
  4. Step 4: Simplify right side
    4,878.04x = 18,723,136.40
  5. Step 5: Solve for x
    x = 18,723,136.40/4,878.04
  6. Step 6: Final answer
    x = 3,838.25

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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.