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Finding the Fourth Proportional to 5,308.83, 7,967.04 and 4,281.24

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Solution

The fourth proportional to 5,308.83, 7,967.04 and 4,281.24 is: 6,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.83 : 7,967.04 = 4,281.24 : x
  2. Step 2: Convert to fraction form
    5,308.83/7,967.04 = 4,281.24/x
  3. Step 3: Cross multiply
    5,308.83x = 7,967.04 × 4,281.24
  4. Step 4: Simplify right side
    5,308.83x = 34,108,810.33
  5. Step 5: Solve for x
    x = 34,108,810.33/5,308.83
  6. Step 6: Final answer
    x = 6,424.92

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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.