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Finding the Fourth Proportional to 5,254.74, 7,878.78 and 2,477.52

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Solution

The fourth proportional to 5,254.74, 7,878.78 and 2,477.52 is: 3,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.74 : 7,878.78 = 2,477.52 : x
  2. Step 2: Convert to fraction form
    5,254.74/7,878.78 = 2,477.52/x
  3. Step 3: Cross multiply
    5,254.74x = 7,878.78 × 2,477.52
  4. Step 4: Simplify right side
    5,254.74x = 19,519,835.03
  5. Step 5: Solve for x
    x = 19,519,835.03/5,254.74
  6. Step 6: Final answer
    x = 3,714.71

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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.