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Finding the Fourth Proportional to 4,693.65, 6,482.08 and 4,061.14

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Solution

The fourth proportional to 4,693.65, 6,482.08 and 4,061.14 is: 5,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.65 : 6,482.08 = 4,061.14 : x
  2. Step 2: Convert to fraction form
    4,693.65/6,482.08 = 4,061.14/x
  3. Step 3: Cross multiply
    4,693.65x = 6,482.08 × 4,061.14
  4. Step 4: Simplify right side
    4,693.65x = 26,324,634.37
  5. Step 5: Solve for x
    x = 26,324,634.37/4,693.65
  6. Step 6: Final answer
    x = 5,608.56

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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.