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Finding the Fourth Proportional to 4,258.61, 5,876.84 and 2,370.17

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Solution

The fourth proportional to 4,258.61, 5,876.84 and 2,370.17 is: 3,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.61 : 5,876.84 = 2,370.17 : x
  2. Step 2: Convert to fraction form
    4,258.61/5,876.84 = 2,370.17/x
  3. Step 3: Cross multiply
    4,258.61x = 5,876.84 × 2,370.17
  4. Step 4: Simplify right side
    4,258.61x = 13,929,098.22
  5. Step 5: Solve for x
    x = 13,929,098.22/4,258.61
  6. Step 6: Final answer
    x = 3,270.81

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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.