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Finding the Fourth Proportional to 5,885.25, 8,827.82 and 1,502.65

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Solution

The fourth proportional to 5,885.25, 8,827.82 and 1,502.65 is: 2,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.25 : 8,827.82 = 1,502.65 : x
  2. Step 2: Convert to fraction form
    5,885.25/8,827.82 = 1,502.65/x
  3. Step 3: Cross multiply
    5,885.25x = 8,827.82 × 1,502.65
  4. Step 4: Simplify right side
    5,885.25x = 13,265,123.72
  5. Step 5: Solve for x
    x = 13,265,123.72/5,885.25
  6. Step 6: Final answer
    x = 2,253.96

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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.