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Finding the Fourth Proportional to 5,252.58, 7,878.26 and 1,356.68

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Solution

The fourth proportional to 5,252.58, 7,878.26 and 1,356.68 is: 2,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.58 : 7,878.26 = 1,356.68 : x
  2. Step 2: Convert to fraction form
    5,252.58/7,878.26 = 1,356.68/x
  3. Step 3: Cross multiply
    5,252.58x = 7,878.26 × 1,356.68
  4. Step 4: Simplify right side
    5,252.58x = 10,688,277.78
  5. Step 5: Solve for x
    x = 10,688,277.78/5,252.58
  6. Step 6: Final answer
    x = 2,034.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.