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Finding the Fourth Proportional to 5,306, 7,319.76 and 3,734.96

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Solution

The fourth proportional to 5,306, 7,319.76 and 3,734.96 is: 5,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306 : 7,319.76 = 3,734.96 : x
  2. Step 2: Convert to fraction form
    5,306/7,319.76 = 3,734.96/x
  3. Step 3: Cross multiply
    5,306x = 7,319.76 × 3,734.96
  4. Step 4: Simplify right side
    5,306x = 27,339,010.81
  5. Step 5: Solve for x
    x = 27,339,010.81/5,306
  6. Step 6: Final answer
    x = 5,152.47

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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.