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Finding the Fourth Proportional to 3,237.70, 4,462.65 and 2,292.28

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Solution

The fourth proportional to 3,237.70, 4,462.65 and 2,292.28 is: 3,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.70 : 4,462.65 = 2,292.28 : x
  2. Step 2: Convert to fraction form
    3,237.70/4,462.65 = 2,292.28/x
  3. Step 3: Cross multiply
    3,237.70x = 4,462.65 × 2,292.28
  4. Step 4: Simplify right side
    3,237.70x = 10,229,643.34
  5. Step 5: Solve for x
    x = 10,229,643.34/3,237.70
  6. Step 6: Final answer
    x = 3,159.54

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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.