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Finding the Fourth Proportional to 5,410.76, 7,463.22 and 4,235.72

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Solution

The fourth proportional to 5,410.76, 7,463.22 and 4,235.72 is: 5,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.76 : 7,463.22 = 4,235.72 : x
  2. Step 2: Convert to fraction form
    5,410.76/7,463.22 = 4,235.72/x
  3. Step 3: Cross multiply
    5,410.76x = 7,463.22 × 4,235.72
  4. Step 4: Simplify right side
    5,410.76x = 31,612,110.22
  5. Step 5: Solve for x
    x = 31,612,110.22/5,410.76
  6. Step 6: Final answer
    x = 5,842.45

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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.