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Finding the Fourth Proportional to 3,513.19, 5,270.09 and 916.13

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Solution

The fourth proportional to 3,513.19, 5,270.09 and 916.13 is: 1,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.19 : 5,270.09 = 916.13 : x
  2. Step 2: Convert to fraction form
    3,513.19/5,270.09 = 916.13/x
  3. Step 3: Cross multiply
    3,513.19x = 5,270.09 × 916.13
  4. Step 4: Simplify right side
    3,513.19x = 4,828,056.62
  5. Step 5: Solve for x
    x = 4,828,056.62/3,513.19
  6. Step 6: Final answer
    x = 1,374.27

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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.