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Finding the Fourth Proportional to 3,141.68, 4,742.05 and 3,141.68

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Solution

The fourth proportional to 3,141.68, 4,742.05 and 3,141.68 is: 4,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.68 : 4,742.05 = 3,141.68 : x
  2. Step 2: Convert to fraction form
    3,141.68/4,742.05 = 3,141.68/x
  3. Step 3: Cross multiply
    3,141.68x = 4,742.05 × 3,141.68
  4. Step 4: Simplify right side
    3,141.68x = 14,897,987.94
  5. Step 5: Solve for x
    x = 14,897,987.94/3,141.68
  6. Step 6: Final answer
    x = 4,742.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.