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Finding the Fourth Proportional to 5,679.72, 7,826.22 and 5,307.12

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Solution

The fourth proportional to 5,679.72, 7,826.22 and 5,307.12 is: 7,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.72 : 7,826.22 = 5,307.12 : x
  2. Step 2: Convert to fraction form
    5,679.72/7,826.22 = 5,307.12/x
  3. Step 3: Cross multiply
    5,679.72x = 7,826.22 × 5,307.12
  4. Step 4: Simplify right side
    5,679.72x = 41,534,688.69
  5. Step 5: Solve for x
    x = 41,534,688.69/5,679.72
  6. Step 6: Final answer
    x = 7,312.81

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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.