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Finding the Fourth Proportional to 5,113.71, 7,671.24 and 1,827.18

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Solution

The fourth proportional to 5,113.71, 7,671.24 and 1,827.18 is: 2,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.71 : 7,671.24 = 1,827.18 : x
  2. Step 2: Convert to fraction form
    5,113.71/7,671.24 = 1,827.18/x
  3. Step 3: Cross multiply
    5,113.71x = 7,671.24 × 1,827.18
  4. Step 4: Simplify right side
    5,113.71x = 14,016,736.30
  5. Step 5: Solve for x
    x = 14,016,736.30/5,113.71
  6. Step 6: Final answer
    x = 2,741.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.