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Finding the Fourth Proportional to 5,895.06, 8,842.59 and 1,512.87

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Solution

The fourth proportional to 5,895.06, 8,842.59 and 1,512.87 is: 2,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.06 : 8,842.59 = 1,512.87 : x
  2. Step 2: Convert to fraction form
    5,895.06/8,842.59 = 1,512.87/x
  3. Step 3: Cross multiply
    5,895.06x = 8,842.59 × 1,512.87
  4. Step 4: Simplify right side
    5,895.06x = 13,377,689.13
  5. Step 5: Solve for x
    x = 13,377,689.13/5,895.06
  6. Step 6: Final answer
    x = 2,269.31

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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.