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Finding the Fourth Proportional to 3,381.41, 5,071.53 and 915.91

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Solution

The fourth proportional to 3,381.41, 5,071.53 and 915.91 is: 1,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.41 : 5,071.53 = 915.91 : x
  2. Step 2: Convert to fraction form
    3,381.41/5,071.53 = 915.91/x
  3. Step 3: Cross multiply
    3,381.41x = 5,071.53 × 915.91
  4. Step 4: Simplify right side
    3,381.41x = 4,645,055.80
  5. Step 5: Solve for x
    x = 4,645,055.80/3,381.41
  6. Step 6: Final answer
    x = 1,373.70

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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.