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Finding the Fourth Proportional to 5,827.68, 8,776.35 and 5,105.97

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Solution

The fourth proportional to 5,827.68, 8,776.35 and 5,105.97 is: 7,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.68 : 8,776.35 = 5,105.97 : x
  2. Step 2: Convert to fraction form
    5,827.68/8,776.35 = 5,105.97/x
  3. Step 3: Cross multiply
    5,827.68x = 8,776.35 × 5,105.97
  4. Step 4: Simplify right side
    5,827.68x = 44,811,779.81
  5. Step 5: Solve for x
    x = 44,811,779.81/5,827.68
  6. Step 6: Final answer
    x = 7,689.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.