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Finding the Fourth Proportional to 4,713.66, 6,505.92 and 2,921.67

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Solution

The fourth proportional to 4,713.66, 6,505.92 and 2,921.67 is: 4,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.66 : 6,505.92 = 2,921.67 : x
  2. Step 2: Convert to fraction form
    4,713.66/6,505.92 = 2,921.67/x
  3. Step 3: Cross multiply
    4,713.66x = 6,505.92 × 2,921.67
  4. Step 4: Simplify right side
    4,713.66x = 19,008,151.29
  5. Step 5: Solve for x
    x = 19,008,151.29/4,713.66
  6. Step 6: Final answer
    x = 4,032.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.