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Finding the Fourth Proportional to 2,587.58, 3,856.46 and 2,583.48

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Solution

The fourth proportional to 2,587.58, 3,856.46 and 2,583.48 is: 3,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.58 : 3,856.46 = 2,583.48 : x
  2. Step 2: Convert to fraction form
    2,587.58/3,856.46 = 2,583.48/x
  3. Step 3: Cross multiply
    2,587.58x = 3,856.46 × 2,583.48
  4. Step 4: Simplify right side
    2,587.58x = 9,963,087.28
  5. Step 5: Solve for x
    x = 9,963,087.28/2,587.58
  6. Step 6: Final answer
    x = 3,850.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.