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Finding the Fourth Proportional to 5,876.15, 8,802.84 and 3,655.86

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Solution

The fourth proportional to 5,876.15, 8,802.84 and 3,655.86 is: 5,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.15 : 8,802.84 = 3,655.86 : x
  2. Step 2: Convert to fraction form
    5,876.15/8,802.84 = 3,655.86/x
  3. Step 3: Cross multiply
    5,876.15x = 8,802.84 × 3,655.86
  4. Step 4: Simplify right side
    5,876.15x = 32,181,888.35
  5. Step 5: Solve for x
    x = 32,181,888.35/5,876.15
  6. Step 6: Final answer
    x = 5,476.70

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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.