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Finding the Fourth Proportional to 4,697.40, 6,482.49 and 2,707.62

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Solution

The fourth proportional to 4,697.40, 6,482.49 and 2,707.62 is: 3,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.40 : 6,482.49 = 2,707.62 : x
  2. Step 2: Convert to fraction form
    4,697.40/6,482.49 = 2,707.62/x
  3. Step 3: Cross multiply
    4,697.40x = 6,482.49 × 2,707.62
  4. Step 4: Simplify right side
    4,697.40x = 17,552,119.57
  5. Step 5: Solve for x
    x = 17,552,119.57/4,697.40
  6. Step 6: Final answer
    x = 3,736.56

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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.