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Finding the Fourth Proportional to 4,390.20, 6,585.06 and 1,468.20

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Solution

The fourth proportional to 4,390.20, 6,585.06 and 1,468.20 is: 2,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390.20 : 6,585.06 = 1,468.20 : x
  2. Step 2: Convert to fraction form
    4,390.20/6,585.06 = 1,468.20/x
  3. Step 3: Cross multiply
    4,390.20x = 6,585.06 × 1,468.20
  4. Step 4: Simplify right side
    4,390.20x = 9,668,185.09
  5. Step 5: Solve for x
    x = 9,668,185.09/4,390.20
  6. Step 6: Final answer
    x = 2,202.22

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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.