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Finding the Fourth Proportional to 4,257.20, 6,386.76 and 1,483.76

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Solution

The fourth proportional to 4,257.20, 6,386.76 and 1,483.76 is: 2,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.20 : 6,386.76 = 1,483.76 : x
  2. Step 2: Convert to fraction form
    4,257.20/6,386.76 = 1,483.76/x
  3. Step 3: Cross multiply
    4,257.20x = 6,386.76 × 1,483.76
  4. Step 4: Simplify right side
    4,257.20x = 9,476,419.02
  5. Step 5: Solve for x
    x = 9,476,419.02/4,257.20
  6. Step 6: Final answer
    x = 2,225.97

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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.