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Finding the Fourth Proportional to 5,306.85, 7,323.35 and 3,068.69

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Solution

The fourth proportional to 5,306.85, 7,323.35 and 3,068.69 is: 4,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.85 : 7,323.35 = 3,068.69 : x
  2. Step 2: Convert to fraction form
    5,306.85/7,323.35 = 3,068.69/x
  3. Step 3: Cross multiply
    5,306.85x = 7,323.35 × 3,068.69
  4. Step 4: Simplify right side
    5,306.85x = 22,473,038.95
  5. Step 5: Solve for x
    x = 22,473,038.95/5,306.85
  6. Step 6: Final answer
    x = 4,234.72

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