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Finding the Fourth Proportional to 5,647.65, 8,476.67 and 2,876.32

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Solution

The fourth proportional to 5,647.65, 8,476.67 and 2,876.32 is: 4,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.65 : 8,476.67 = 2,876.32 : x
  2. Step 2: Convert to fraction form
    5,647.65/8,476.67 = 2,876.32/x
  3. Step 3: Cross multiply
    5,647.65x = 8,476.67 × 2,876.32
  4. Step 4: Simplify right side
    5,647.65x = 24,381,615.45
  5. Step 5: Solve for x
    x = 24,381,615.45/5,647.65
  6. Step 6: Final answer
    x = 4,317.13

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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.