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Finding the Fourth Proportional to 4,751.52, 6,557.94 and 3,494.40

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Solution

The fourth proportional to 4,751.52, 6,557.94 and 3,494.40 is: 4,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.52 : 6,557.94 = 3,494.40 : x
  2. Step 2: Convert to fraction form
    4,751.52/6,557.94 = 3,494.40/x
  3. Step 3: Cross multiply
    4,751.52x = 6,557.94 × 3,494.40
  4. Step 4: Simplify right side
    4,751.52x = 22,916,065.54
  5. Step 5: Solve for x
    x = 22,916,065.54/4,751.52
  6. Step 6: Final answer
    x = 4,822.89

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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.