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Finding the Fourth Proportional to 5,798.64, 8,699.72 and 2,102.61

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Solution

The fourth proportional to 5,798.64, 8,699.72 and 2,102.61 is: 3,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.64 : 8,699.72 = 2,102.61 : x
  2. Step 2: Convert to fraction form
    5,798.64/8,699.72 = 2,102.61/x
  3. Step 3: Cross multiply
    5,798.64x = 8,699.72 × 2,102.61
  4. Step 4: Simplify right side
    5,798.64x = 18,292,118.27
  5. Step 5: Solve for x
    x = 18,292,118.27/5,798.64
  6. Step 6: Final answer
    x = 3,154.55

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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.