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Finding the Fourth Proportional to 5,306.85, 7,323.75 and 4,421.12

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Solution

The fourth proportional to 5,306.85, 7,323.75 and 4,421.12 is: 6,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.85 : 7,323.75 = 4,421.12 : x
  2. Step 2: Convert to fraction form
    5,306.85/7,323.75 = 4,421.12/x
  3. Step 3: Cross multiply
    5,306.85x = 7,323.75 × 4,421.12
  4. Step 4: Simplify right side
    5,306.85x = 32,379,140.98
  5. Step 5: Solve for x
    x = 32,379,140.98/5,306.85
  6. Step 6: Final answer
    x = 6,101.39

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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.