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Finding the Fourth Proportional to 4,471.07, 6,701.54 and 2,275.16

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Solution

The fourth proportional to 4,471.07, 6,701.54 and 2,275.16 is: 3,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.07 : 6,701.54 = 2,275.16 : x
  2. Step 2: Convert to fraction form
    4,471.07/6,701.54 = 2,275.16/x
  3. Step 3: Cross multiply
    4,471.07x = 6,701.54 × 2,275.16
  4. Step 4: Simplify right side
    4,471.07x = 15,247,030.86
  5. Step 5: Solve for x
    x = 15,247,030.86/4,471.07
  6. Step 6: Final answer
    x = 3,410.16

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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.