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Finding the Fourth Proportional to 3,772.60, 5,207 and 2,878.66

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Solution

The fourth proportional to 3,772.60, 5,207 and 2,878.66 is: 3,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.60 : 5,207 = 2,878.66 : x
  2. Step 2: Convert to fraction form
    3,772.60/5,207 = 2,878.66/x
  3. Step 3: Cross multiply
    3,772.60x = 5,207 × 2,878.66
  4. Step 4: Simplify right side
    3,772.60x = 14,989,182.62
  5. Step 5: Solve for x
    x = 14,989,182.62/3,772.60
  6. Step 6: Final answer
    x = 3,973.17

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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.