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Finding the Fourth Proportional to 4,390.43, 6,586.00 and 1,468.76

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Solution

The fourth proportional to 4,390.43, 6,586.00 and 1,468.76 is: 2,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390.43 : 6,586.00 = 1,468.76 : x
  2. Step 2: Convert to fraction form
    4,390.43/6,586.00 = 1,468.76/x
  3. Step 3: Cross multiply
    4,390.43x = 6,586.00 × 1,468.76
  4. Step 4: Simplify right side
    4,390.43x = 9,673,216.76
  5. Step 5: Solve for x
    x = 9,673,216.76/4,390.43
  6. Step 6: Final answer
    x = 2,203.25

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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.