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Finding the Fourth Proportional to 4,313.07, 6,470.01 and 1,540.04

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Solution

The fourth proportional to 4,313.07, 6,470.01 and 1,540.04 is: 2,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.07 : 6,470.01 = 1,540.04 : x
  2. Step 2: Convert to fraction form
    4,313.07/6,470.01 = 1,540.04/x
  3. Step 3: Cross multiply
    4,313.07x = 6,470.01 × 1,540.04
  4. Step 4: Simplify right side
    4,313.07x = 9,964,041.85
  5. Step 5: Solve for x
    x = 9,964,041.85/4,313.07
  6. Step 6: Final answer
    x = 2,310.20

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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.