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Finding the Fourth Proportional to 3,513.02, 5,269.11 and 916.16

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Solution

The fourth proportional to 3,513.02, 5,269.11 and 916.16 is: 1,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.02 : 5,269.11 = 916.16 : x
  2. Step 2: Convert to fraction form
    3,513.02/5,269.11 = 916.16/x
  3. Step 3: Cross multiply
    3,513.02x = 5,269.11 × 916.16
  4. Step 4: Simplify right side
    3,513.02x = 4,827,347.82
  5. Step 5: Solve for x
    x = 4,827,347.82/3,513.02
  6. Step 6: Final answer
    x = 1,374.13

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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.