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Finding the Fourth Proportional to 6,049.60, 8,346 and 3,807.52

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Solution

The fourth proportional to 6,049.60, 8,346 and 3,807.52 is: 5,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.60 : 8,346 = 3,807.52 : x
  2. Step 2: Convert to fraction form
    6,049.60/8,346 = 3,807.52/x
  3. Step 3: Cross multiply
    6,049.60x = 8,346 × 3,807.52
  4. Step 4: Simplify right side
    6,049.60x = 31,777,561.92
  5. Step 5: Solve for x
    x = 31,777,561.92/6,049.60
  6. Step 6: Final answer
    x = 5,252.84

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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.