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Finding the Fourth Proportional to 3,853.58, 5,314.66 and 2,509.52

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Solution

The fourth proportional to 3,853.58, 5,314.66 and 2,509.52 is: 3,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.58 : 5,314.66 = 2,509.52 : x
  2. Step 2: Convert to fraction form
    3,853.58/5,314.66 = 2,509.52/x
  3. Step 3: Cross multiply
    3,853.58x = 5,314.66 × 2,509.52
  4. Step 4: Simplify right side
    3,853.58x = 13,337,245.56
  5. Step 5: Solve for x
    x = 13,337,245.56/3,853.58
  6. Step 6: Final answer
    x = 3,461.00

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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.