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Finding the Fourth Proportional to 4,257.84, 6,386.76 and 2,525.52

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Solution

The fourth proportional to 4,257.84, 6,386.76 and 2,525.52 is: 3,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.84 : 6,386.76 = 2,525.52 : x
  2. Step 2: Convert to fraction form
    4,257.84/6,386.76 = 2,525.52/x
  3. Step 3: Cross multiply
    4,257.84x = 6,386.76 × 2,525.52
  4. Step 4: Simplify right side
    4,257.84x = 16,129,890.12
  5. Step 5: Solve for x
    x = 16,129,890.12/4,257.84
  6. Step 6: Final answer
    x = 3,788.28

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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.