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Finding the Fourth Proportional to 4,349.84, 6,002.64 and 2,461.52

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Solution

The fourth proportional to 4,349.84, 6,002.64 and 2,461.52 is: 3,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.84 : 6,002.64 = 2,461.52 : x
  2. Step 2: Convert to fraction form
    4,349.84/6,002.64 = 2,461.52/x
  3. Step 3: Cross multiply
    4,349.84x = 6,002.64 × 2,461.52
  4. Step 4: Simplify right side
    4,349.84x = 14,775,618.41
  5. Step 5: Solve for x
    x = 14,775,618.41/4,349.84
  6. Step 6: Final answer
    x = 3,396.82

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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.