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Finding the Fourth Proportional to 4,349.57, 6,002.46 and 2,461.14

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Solution

The fourth proportional to 4,349.57, 6,002.46 and 2,461.14 is: 3,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.57 : 6,002.46 = 2,461.14 : x
  2. Step 2: Convert to fraction form
    4,349.57/6,002.46 = 2,461.14/x
  3. Step 3: Cross multiply
    4,349.57x = 6,002.46 × 2,461.14
  4. Step 4: Simplify right side
    4,349.57x = 14,772,894.40
  5. Step 5: Solve for x
    x = 14,772,894.40/4,349.57
  6. Step 6: Final answer
    x = 3,396.41

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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.