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Finding the Fourth Proportional to 6,046.86, 8,349.75 and 4,552.20

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Solution

The fourth proportional to 6,046.86, 8,349.75 and 4,552.20 is: 6,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.86 : 8,349.75 = 4,552.20 : x
  2. Step 2: Convert to fraction form
    6,046.86/8,349.75 = 4,552.20/x
  3. Step 3: Cross multiply
    6,046.86x = 8,349.75 × 4,552.20
  4. Step 4: Simplify right side
    6,046.86x = 38,009,731.95
  5. Step 5: Solve for x
    x = 38,009,731.95/6,046.86
  6. Step 6: Final answer
    x = 6,285.86

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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.