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Finding the Fourth Proportional to 4,878.36, 7,348.25 and 4,442.38

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Solution

The fourth proportional to 4,878.36, 7,348.25 and 4,442.38 is: 6,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.36 : 7,348.25 = 4,442.38 : x
  2. Step 2: Convert to fraction form
    4,878.36/7,348.25 = 4,442.38/x
  3. Step 3: Cross multiply
    4,878.36x = 7,348.25 × 4,442.38
  4. Step 4: Simplify right side
    4,878.36x = 32,643,718.84
  5. Step 5: Solve for x
    x = 32,643,718.84/4,878.36
  6. Step 6: Final answer
    x = 6,691.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.