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Finding the Fourth Proportional to 5,672.13, 7,828.77 and 3,155.10

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Solution

The fourth proportional to 5,672.13, 7,828.77 and 3,155.10 is: 4,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.13 : 7,828.77 = 3,155.10 : x
  2. Step 2: Convert to fraction form
    5,672.13/7,828.77 = 3,155.10/x
  3. Step 3: Cross multiply
    5,672.13x = 7,828.77 × 3,155.10
  4. Step 4: Simplify right side
    5,672.13x = 24,700,552.23
  5. Step 5: Solve for x
    x = 24,700,552.23/5,672.13
  6. Step 6: Final answer
    x = 4,354.72

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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.