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Finding the Fourth Proportional to 3,614.94, 4,987.44 and 2,288.16

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Solution

The fourth proportional to 3,614.94, 4,987.44 and 2,288.16 is: 3,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.94 : 4,987.44 = 2,288.16 : x
  2. Step 2: Convert to fraction form
    3,614.94/4,987.44 = 2,288.16/x
  3. Step 3: Cross multiply
    3,614.94x = 4,987.44 × 2,288.16
  4. Step 4: Simplify right side
    3,614.94x = 11,412,060.71
  5. Step 5: Solve for x
    x = 11,412,060.71/3,614.94
  6. Step 6: Final answer
    x = 3,156.92

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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.