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Finding the Fourth Proportional to 3,412.16, 4,708.53 and 1,919.79

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Solution

The fourth proportional to 3,412.16, 4,708.53 and 1,919.79 is: 2,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.16 : 4,708.53 = 1,919.79 : x
  2. Step 2: Convert to fraction form
    3,412.16/4,708.53 = 1,919.79/x
  3. Step 3: Cross multiply
    3,412.16x = 4,708.53 × 1,919.79
  4. Step 4: Simplify right side
    3,412.16x = 9,039,381.61
  5. Step 5: Solve for x
    x = 9,039,381.61/3,412.16
  6. Step 6: Final answer
    x = 2,649.17

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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.