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Finding the Fourth Proportional to 3,876.87, 5,347.91 and 2,530.58

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Solution

The fourth proportional to 3,876.87, 5,347.91 and 2,530.58 is: 3,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.87 : 5,347.91 = 2,530.58 : x
  2. Step 2: Convert to fraction form
    3,876.87/5,347.91 = 2,530.58/x
  3. Step 3: Cross multiply
    3,876.87x = 5,347.91 × 2,530.58
  4. Step 4: Simplify right side
    3,876.87x = 13,533,274.70
  5. Step 5: Solve for x
    x = 13,533,274.70/3,876.87
  6. Step 6: Final answer
    x = 3,490.77

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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.