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Finding the Fourth Proportional to 3,513.56, 5,270.65 and 916.50

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Solution

The fourth proportional to 3,513.56, 5,270.65 and 916.50 is: 1,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.56 : 5,270.65 = 916.50 : x
  2. Step 2: Convert to fraction form
    3,513.56/5,270.65 = 916.50/x
  3. Step 3: Cross multiply
    3,513.56x = 5,270.65 × 916.50
  4. Step 4: Simplify right side
    3,513.56x = 4,830,550.73
  5. Step 5: Solve for x
    x = 4,830,550.73/3,513.56
  6. Step 6: Final answer
    x = 1,374.83

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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.