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Finding the Fourth Proportional to 3,442.52, 4,750.76 and 2,045.28

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Solution

The fourth proportional to 3,442.52, 4,750.76 and 2,045.28 is: 2,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.52 : 4,750.76 = 2,045.28 : x
  2. Step 2: Convert to fraction form
    3,442.52/4,750.76 = 2,045.28/x
  3. Step 3: Cross multiply
    3,442.52x = 4,750.76 × 2,045.28
  4. Step 4: Simplify right side
    3,442.52x = 9,716,634.41
  5. Step 5: Solve for x
    x = 9,716,634.41/3,442.52
  6. Step 6: Final answer
    x = 2,822.54

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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.