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Finding the Fourth Proportional to 3,676.92, 5,071.59 and 2,417.58

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Solution

The fourth proportional to 3,676.92, 5,071.59 and 2,417.58 is: 3,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.92 : 5,071.59 = 2,417.58 : x
  2. Step 2: Convert to fraction form
    3,676.92/5,071.59 = 2,417.58/x
  3. Step 3: Cross multiply
    3,676.92x = 5,071.59 × 2,417.58
  4. Step 4: Simplify right side
    3,676.92x = 12,260,955.53
  5. Step 5: Solve for x
    x = 12,260,955.53/3,676.92
  6. Step 6: Final answer
    x = 3,334.57

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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.