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Finding the Fourth Proportional to 5,159.68, 7,741.76 and 2,237.28

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Solution

The fourth proportional to 5,159.68, 7,741.76 and 2,237.28 is: 3,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.68 : 7,741.76 = 2,237.28 : x
  2. Step 2: Convert to fraction form
    5,159.68/7,741.76 = 2,237.28/x
  3. Step 3: Cross multiply
    5,159.68x = 7,741.76 × 2,237.28
  4. Step 4: Simplify right side
    5,159.68x = 17,320,484.81
  5. Step 5: Solve for x
    x = 17,320,484.81/5,159.68
  6. Step 6: Final answer
    x = 3,356.89

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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.