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Finding the Fourth Proportional to 3,586.32, 4,948.02 and 2,408.58

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Solution

The fourth proportional to 3,586.32, 4,948.02 and 2,408.58 is: 3,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.32 : 4,948.02 = 2,408.58 : x
  2. Step 2: Convert to fraction form
    3,586.32/4,948.02 = 2,408.58/x
  3. Step 3: Cross multiply
    3,586.32x = 4,948.02 × 2,408.58
  4. Step 4: Simplify right side
    3,586.32x = 11,917,702.01
  5. Step 5: Solve for x
    x = 11,917,702.01/3,586.32
  6. Step 6: Final answer
    x = 3,323.10

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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.