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Finding the Fourth Proportional to 4,314.51, 6,470.12 and 1,540.67

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Solution

The fourth proportional to 4,314.51, 6,470.12 and 1,540.67 is: 2,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.51 : 6,470.12 = 1,540.67 : x
  2. Step 2: Convert to fraction form
    4,314.51/6,470.12 = 1,540.67/x
  3. Step 3: Cross multiply
    4,314.51x = 6,470.12 × 1,540.67
  4. Step 4: Simplify right side
    4,314.51x = 9,968,291.28
  5. Step 5: Solve for x
    x = 9,968,291.28/4,314.51
  6. Step 6: Final answer
    x = 2,310.41

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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.