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Finding the Fourth Proportional to 5,869.10, 8,098.58 and 3,510.38

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Solution

The fourth proportional to 5,869.10, 8,098.58 and 3,510.38 is: 4,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.10 : 8,098.58 = 3,510.38 : x
  2. Step 2: Convert to fraction form
    5,869.10/8,098.58 = 3,510.38/x
  3. Step 3: Cross multiply
    5,869.10x = 8,098.58 × 3,510.38
  4. Step 4: Simplify right side
    5,869.10x = 28,429,093.26
  5. Step 5: Solve for x
    x = 28,429,093.26/5,869.10
  6. Step 6: Final answer
    x = 4,843.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.