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Finding the Fourth Proportional to 3,830.74, 5,744.89 and 1,490.59

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Solution

The fourth proportional to 3,830.74, 5,744.89 and 1,490.59 is: 2,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.74 : 5,744.89 = 1,490.59 : x
  2. Step 2: Convert to fraction form
    3,830.74/5,744.89 = 1,490.59/x
  3. Step 3: Cross multiply
    3,830.74x = 5,744.89 × 1,490.59
  4. Step 4: Simplify right side
    3,830.74x = 8,563,275.59
  5. Step 5: Solve for x
    x = 8,563,275.59/3,830.74
  6. Step 6: Final answer
    x = 2,235.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.