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Finding the Fourth Proportional to 4,727.74, 7,090.46 and 1,955.20

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Solution

The fourth proportional to 4,727.74, 7,090.46 and 1,955.20 is: 2,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.74 : 7,090.46 = 1,955.20 : x
  2. Step 2: Convert to fraction form
    4,727.74/7,090.46 = 1,955.20/x
  3. Step 3: Cross multiply
    4,727.74x = 7,090.46 × 1,955.20
  4. Step 4: Simplify right side
    4,727.74x = 13,863,267.39
  5. Step 5: Solve for x
    x = 13,863,267.39/4,727.74
  6. Step 6: Final answer
    x = 2,932.32

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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.