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Finding the Fourth Proportional to 5,042.06, 7,567.90 and 3,098.06

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Solution

The fourth proportional to 5,042.06, 7,567.90 and 3,098.06 is: 4,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.06 : 7,567.90 = 3,098.06 : x
  2. Step 2: Convert to fraction form
    5,042.06/7,567.90 = 3,098.06/x
  3. Step 3: Cross multiply
    5,042.06x = 7,567.90 × 3,098.06
  4. Step 4: Simplify right side
    5,042.06x = 23,445,808.27
  5. Step 5: Solve for x
    x = 23,445,808.27/5,042.06
  6. Step 6: Final answer
    x = 4,650.05

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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.