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Finding the Fourth Proportional to 3,019.53, 4,527.14 and 1,287.21

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Solution

The fourth proportional to 3,019.53, 4,527.14 and 1,287.21 is: 1,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.53 : 4,527.14 = 1,287.21 : x
  2. Step 2: Convert to fraction form
    3,019.53/4,527.14 = 1,287.21/x
  3. Step 3: Cross multiply
    3,019.53x = 4,527.14 × 1,287.21
  4. Step 4: Simplify right side
    3,019.53x = 5,827,373.44
  5. Step 5: Solve for x
    x = 5,827,373.44/3,019.53
  6. Step 6: Final answer
    x = 1,929.89

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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.