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Finding the Fourth Proportional to 3,676.61, 5,071.16 and 2,417.26

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Solution

The fourth proportional to 3,676.61, 5,071.16 and 2,417.26 is: 3,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.61 : 5,071.16 = 2,417.26 : x
  2. Step 2: Convert to fraction form
    3,676.61/5,071.16 = 2,417.26/x
  3. Step 3: Cross multiply
    3,676.61x = 5,071.16 × 2,417.26
  4. Step 4: Simplify right side
    3,676.61x = 12,258,329.80
  5. Step 5: Solve for x
    x = 12,258,329.80/3,676.61
  6. Step 6: Final answer
    x = 3,334.14

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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.