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Finding the Fourth Proportional to 4,099.26, 5,658.86 and 2,528.26

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Solution

The fourth proportional to 4,099.26, 5,658.86 and 2,528.26 is: 3,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.26 : 5,658.86 = 2,528.26 : x
  2. Step 2: Convert to fraction form
    4,099.26/5,658.86 = 2,528.26/x
  3. Step 3: Cross multiply
    4,099.26x = 5,658.86 × 2,528.26
  4. Step 4: Simplify right side
    4,099.26x = 14,307,069.38
  5. Step 5: Solve for x
    x = 14,307,069.38/4,099.26
  6. Step 6: Final answer
    x = 3,490.16

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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.