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Finding the Fourth Proportional to 3,164.13, 4,746.47 and 1,847.07

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Solution

The fourth proportional to 3,164.13, 4,746.47 and 1,847.07 is: 2,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.13 : 4,746.47 = 1,847.07 : x
  2. Step 2: Convert to fraction form
    3,164.13/4,746.47 = 1,847.07/x
  3. Step 3: Cross multiply
    3,164.13x = 4,746.47 × 1,847.07
  4. Step 4: Simplify right side
    3,164.13x = 8,767,053.11
  5. Step 5: Solve for x
    x = 8,767,053.11/3,164.13
  6. Step 6: Final answer
    x = 2,770.76

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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.