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Finding the Fourth Proportional to 4,315.29, 6,471.32 and 1,541.22

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Solution

The fourth proportional to 4,315.29, 6,471.32 and 1,541.22 is: 2,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.29 : 6,471.32 = 1,541.22 : x
  2. Step 2: Convert to fraction form
    4,315.29/6,471.32 = 1,541.22/x
  3. Step 3: Cross multiply
    4,315.29x = 6,471.32 × 1,541.22
  4. Step 4: Simplify right side
    4,315.29x = 9,973,720.10
  5. Step 5: Solve for x
    x = 9,973,720.10/4,315.29
  6. Step 6: Final answer
    x = 2,311.25

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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.