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Finding the Fourth Proportional to 3,718.69, 5,577.86 and 1,253.50

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Solution

The fourth proportional to 3,718.69, 5,577.86 and 1,253.50 is: 1,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.69 : 5,577.86 = 1,253.50 : x
  2. Step 2: Convert to fraction form
    3,718.69/5,577.86 = 1,253.50/x
  3. Step 3: Cross multiply
    3,718.69x = 5,577.86 × 1,253.50
  4. Step 4: Simplify right side
    3,718.69x = 6,991,836.70
  5. Step 5: Solve for x
    x = 6,991,836.70/3,718.69
  6. Step 6: Final answer
    x = 1,880.19

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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.