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Finding the Fourth Proportional to 5,249.81, 7,875.53 and 1,551.66

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Solution

The fourth proportional to 5,249.81, 7,875.53 and 1,551.66 is: 2,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.81 : 7,875.53 = 1,551.66 : x
  2. Step 2: Convert to fraction form
    5,249.81/7,875.53 = 1,551.66/x
  3. Step 3: Cross multiply
    5,249.81x = 7,875.53 × 1,551.66
  4. Step 4: Simplify right side
    5,249.81x = 12,220,113.41
  5. Step 5: Solve for x
    x = 12,220,113.41/5,249.81
  6. Step 6: Final answer
    x = 2,327.72

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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.