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Finding the Fourth Proportional to 4,138.64, 5,710.80 and 2,460.08

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Solution

The fourth proportional to 4,138.64, 5,710.80 and 2,460.08 is: 3,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.64 : 5,710.80 = 2,460.08 : x
  2. Step 2: Convert to fraction form
    4,138.64/5,710.80 = 2,460.08/x
  3. Step 3: Cross multiply
    4,138.64x = 5,710.80 × 2,460.08
  4. Step 4: Simplify right side
    4,138.64x = 14,048,996.31
  5. Step 5: Solve for x
    x = 14,048,996.31/4,138.64
  6. Step 6: Final answer
    x = 3,394.60

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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.