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Finding the Fourth Proportional to 2,572.24, 3,878.38 and 2,356.24

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Solution

The fourth proportional to 2,572.24, 3,878.38 and 2,356.24 is: 3,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.24 : 3,878.38 = 2,356.24 : x
  2. Step 2: Convert to fraction form
    2,572.24/3,878.38 = 2,356.24/x
  3. Step 3: Cross multiply
    2,572.24x = 3,878.38 × 2,356.24
  4. Step 4: Simplify right side
    2,572.24x = 9,138,394.09
  5. Step 5: Solve for x
    x = 9,138,394.09/2,572.24
  6. Step 6: Final answer
    x = 3,552.70

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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.