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Finding the Fourth Proportional to 3,513.47, 5,269.83 and 916.40

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Solution

The fourth proportional to 3,513.47, 5,269.83 and 916.40 is: 1,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.47 : 5,269.83 = 916.40 : x
  2. Step 2: Convert to fraction form
    3,513.47/5,269.83 = 916.40/x
  3. Step 3: Cross multiply
    3,513.47x = 5,269.83 × 916.40
  4. Step 4: Simplify right side
    3,513.47x = 4,829,245.86
  5. Step 5: Solve for x
    x = 4,829,245.86/3,513.47
  6. Step 6: Final answer
    x = 1,374.50

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Why These Related Problems?

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