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Finding the Fourth Proportional to 3,381.60, 5,071.80 and 916.11

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Solution

The fourth proportional to 3,381.60, 5,071.80 and 916.11 is: 1,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.60 : 5,071.80 = 916.11 : x
  2. Step 2: Convert to fraction form
    3,381.60/5,071.80 = 916.11/x
  3. Step 3: Cross multiply
    3,381.60x = 5,071.80 × 916.11
  4. Step 4: Simplify right side
    3,381.60x = 4,646,326.70
  5. Step 5: Solve for x
    x = 4,646,326.70/3,381.60
  6. Step 6: Final answer
    x = 1,374.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.