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Finding the Fourth Proportional to 3,158.88, 4,740.47 and 1,106.88

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Solution

The fourth proportional to 3,158.88, 4,740.47 and 1,106.88 is: 1,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.88 : 4,740.47 = 1,106.88 : x
  2. Step 2: Convert to fraction form
    3,158.88/4,740.47 = 1,106.88/x
  3. Step 3: Cross multiply
    3,158.88x = 4,740.47 × 1,106.88
  4. Step 4: Simplify right side
    3,158.88x = 5,247,131.43
  5. Step 5: Solve for x
    x = 5,247,131.43/3,158.88
  6. Step 6: Final answer
    x = 1,661.07

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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.