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Finding the Fourth Proportional to 3,405.75, 4,700.12 and 2,079.06

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Solution

The fourth proportional to 3,405.75, 4,700.12 and 2,079.06 is: 2,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.75 : 4,700.12 = 2,079.06 : x
  2. Step 2: Convert to fraction form
    3,405.75/4,700.12 = 2,079.06/x
  3. Step 3: Cross multiply
    3,405.75x = 4,700.12 × 2,079.06
  4. Step 4: Simplify right side
    3,405.75x = 9,771,831.49
  5. Step 5: Solve for x
    x = 9,771,831.49/3,405.75
  6. Step 6: Final answer
    x = 2,869.22

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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.