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Finding the Fourth Proportional to 4,390.40, 6,586.40 and 1,468.16

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Solution

The fourth proportional to 4,390.40, 6,586.40 and 1,468.16 is: 2,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390.40 : 6,586.40 = 1,468.16 : x
  2. Step 2: Convert to fraction form
    4,390.40/6,586.40 = 1,468.16/x
  3. Step 3: Cross multiply
    4,390.40x = 6,586.40 × 1,468.16
  4. Step 4: Simplify right side
    4,390.40x = 9,669,889.02
  5. Step 5: Solve for x
    x = 9,669,889.02/4,390.40
  6. Step 6: Final answer
    x = 2,202.51

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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.