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Finding the Fourth Proportional to 4,138.24, 5,710.08 and 2,482.24

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Solution

The fourth proportional to 4,138.24, 5,710.08 and 2,482.24 is: 3,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.24 : 5,710.08 = 2,482.24 : x
  2. Step 2: Convert to fraction form
    4,138.24/5,710.08 = 2,482.24/x
  3. Step 3: Cross multiply
    4,138.24x = 5,710.08 × 2,482.24
  4. Step 4: Simplify right side
    4,138.24x = 14,173,788.98
  5. Step 5: Solve for x
    x = 14,173,788.98/4,138.24
  6. Step 6: Final answer
    x = 3,425.08

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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.