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Finding the Fourth Proportional to 4,257.70, 5,875.74 and 2,578.75

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Solution

The fourth proportional to 4,257.70, 5,875.74 and 2,578.75 is: 3,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.70 : 5,875.74 = 2,578.75 : x
  2. Step 2: Convert to fraction form
    4,257.70/5,875.74 = 2,578.75/x
  3. Step 3: Cross multiply
    4,257.70x = 5,875.74 × 2,578.75
  4. Step 4: Simplify right side
    4,257.70x = 15,152,064.53
  5. Step 5: Solve for x
    x = 15,152,064.53/4,257.70
  6. Step 6: Final answer
    x = 3,558.74

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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.