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Finding the Fourth Proportional to 3,864.74, 5,798.19 and 1,269.50

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Solution

The fourth proportional to 3,864.74, 5,798.19 and 1,269.50 is: 1,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.74 : 5,798.19 = 1,269.50 : x
  2. Step 2: Convert to fraction form
    3,864.74/5,798.19 = 1,269.50/x
  3. Step 3: Cross multiply
    3,864.74x = 5,798.19 × 1,269.50
  4. Step 4: Simplify right side
    3,864.74x = 7,360,766.87
  5. Step 5: Solve for x
    x = 7,360,766.87/3,864.74
  6. Step 6: Final answer
    x = 1,904.60

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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.