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Finding the Fourth Proportional to 4,913.76, 7,372.53 and 2,314.89

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Solution

The fourth proportional to 4,913.76, 7,372.53 and 2,314.89 is: 3,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.76 : 7,372.53 = 2,314.89 : x
  2. Step 2: Convert to fraction form
    4,913.76/7,372.53 = 2,314.89/x
  3. Step 3: Cross multiply
    4,913.76x = 7,372.53 × 2,314.89
  4. Step 4: Simplify right side
    4,913.76x = 17,066,595.97
  5. Step 5: Solve for x
    x = 17,066,595.97/4,913.76
  6. Step 6: Final answer
    x = 3,473.23

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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.