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Finding the Fourth Proportional to 4,349.61, 6,002.42 and 2,461.16

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Solution

The fourth proportional to 4,349.61, 6,002.42 and 2,461.16 is: 3,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.61 : 6,002.42 = 2,461.16 : x
  2. Step 2: Convert to fraction form
    4,349.61/6,002.42 = 2,461.16/x
  3. Step 3: Cross multiply
    4,349.61x = 6,002.42 × 2,461.16
  4. Step 4: Simplify right side
    4,349.61x = 14,772,918.71
  5. Step 5: Solve for x
    x = 14,772,918.71/4,349.61
  6. Step 6: Final answer
    x = 3,396.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.