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Finding the Fourth Proportional to 4,140.62, 6,210.74 and 1,020.47

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Solution

The fourth proportional to 4,140.62, 6,210.74 and 1,020.47 is: 1,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.62 : 6,210.74 = 1,020.47 : x
  2. Step 2: Convert to fraction form
    4,140.62/6,210.74 = 1,020.47/x
  3. Step 3: Cross multiply
    4,140.62x = 6,210.74 × 1,020.47
  4. Step 4: Simplify right side
    4,140.62x = 6,337,891.93
  5. Step 5: Solve for x
    x = 6,337,891.93/4,140.62
  6. Step 6: Final answer
    x = 1,530.66

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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.