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Finding the Fourth Proportional to 4,080, 6,119.99 and 1,158.31

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Solution

The fourth proportional to 4,080, 6,119.99 and 1,158.31 is: 1,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080 : 6,119.99 = 1,158.31 : x
  2. Step 2: Convert to fraction form
    4,080/6,119.99 = 1,158.31/x
  3. Step 3: Cross multiply
    4,080x = 6,119.99 × 1,158.31
  4. Step 4: Simplify right side
    4,080x = 7,088,809.23
  5. Step 5: Solve for x
    x = 7,088,809.23/4,080
  6. Step 6: Final answer
    x = 1,737.45

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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.