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Finding the Fourth Proportional to 4,390.56, 6,586.20 and 1,468.86

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Solution

The fourth proportional to 4,390.56, 6,586.20 and 1,468.86 is: 2,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390.56 : 6,586.20 = 1,468.86 : x
  2. Step 2: Convert to fraction form
    4,390.56/6,586.20 = 1,468.86/x
  3. Step 3: Cross multiply
    4,390.56x = 6,586.20 × 1,468.86
  4. Step 4: Simplify right side
    4,390.56x = 9,674,205.73
  5. Step 5: Solve for x
    x = 9,674,205.73/4,390.56
  6. Step 6: Final answer
    x = 2,203.41

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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.