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Finding the Fourth Proportional to 5,062.32, 6,986.00 and 2,966.45

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Solution

The fourth proportional to 5,062.32, 6,986.00 and 2,966.45 is: 4,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.32 : 6,986.00 = 2,966.45 : x
  2. Step 2: Convert to fraction form
    5,062.32/6,986.00 = 2,966.45/x
  3. Step 3: Cross multiply
    5,062.32x = 6,986.00 × 2,966.45
  4. Step 4: Simplify right side
    5,062.32x = 20,723,569.94
  5. Step 5: Solve for x
    x = 20,723,569.94/5,062.32
  6. Step 6: Final answer
    x = 4,093.69

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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.