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Finding the Fourth Proportional to 5,671.13, 7,827.39 and 3,154.10

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Solution

The fourth proportional to 5,671.13, 7,827.39 and 3,154.10 is: 4,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.13 : 7,827.39 = 3,154.10 : x
  2. Step 2: Convert to fraction form
    5,671.13/7,827.39 = 3,154.10/x
  3. Step 3: Cross multiply
    5,671.13x = 7,827.39 × 3,154.10
  4. Step 4: Simplify right side
    5,671.13x = 24,688,331.66
  5. Step 5: Solve for x
    x = 24,688,331.66/5,671.13
  6. Step 6: Final answer
    x = 4,353.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.