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Finding the Fourth Proportional to 5,365.62, 8,049.00 and 1,470.02

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Solution

The fourth proportional to 5,365.62, 8,049.00 and 1,470.02 is: 2,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.62 : 8,049.00 = 1,470.02 : x
  2. Step 2: Convert to fraction form
    5,365.62/8,049.00 = 1,470.02/x
  3. Step 3: Cross multiply
    5,365.62x = 8,049.00 × 1,470.02
  4. Step 4: Simplify right side
    5,365.62x = 11,832,211.76
  5. Step 5: Solve for x
    x = 11,832,211.76/5,365.62
  6. Step 6: Final answer
    x = 2,205.19

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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.