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Finding the Fourth Proportional to 4,324.80, 6,483.35 and 1,586.88

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Solution

The fourth proportional to 4,324.80, 6,483.35 and 1,586.88 is: 2,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.80 : 6,483.35 = 1,586.88 : x
  2. Step 2: Convert to fraction form
    4,324.80/6,483.35 = 1,586.88/x
  3. Step 3: Cross multiply
    4,324.80x = 6,483.35 × 1,586.88
  4. Step 4: Simplify right side
    4,324.80x = 10,288,298.45
  5. Step 5: Solve for x
    x = 10,288,298.45/4,324.80
  6. Step 6: Final answer
    x = 2,378.91

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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.