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Finding the Fourth Proportional to 4,237.65, 5,849.43 and 2,470.74

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Solution

The fourth proportional to 4,237.65, 5,849.43 and 2,470.74 is: 3,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.65 : 5,849.43 = 2,470.74 : x
  2. Step 2: Convert to fraction form
    4,237.65/5,849.43 = 2,470.74/x
  3. Step 3: Cross multiply
    4,237.65x = 5,849.43 × 2,470.74
  4. Step 4: Simplify right side
    4,237.65x = 14,452,420.68
  5. Step 5: Solve for x
    x = 14,452,420.68/4,237.65
  6. Step 6: Final answer
    x = 3,410.48

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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.