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Finding the Fourth Proportional to 5,670.79, 7,833.17 and 4,729.66

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Solution

The fourth proportional to 5,670.79, 7,833.17 and 4,729.66 is: 6,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.79 : 7,833.17 = 4,729.66 : x
  2. Step 2: Convert to fraction form
    5,670.79/7,833.17 = 4,729.66/x
  3. Step 3: Cross multiply
    5,670.79x = 7,833.17 × 4,729.66
  4. Step 4: Simplify right side
    5,670.79x = 37,048,230.82
  5. Step 5: Solve for x
    x = 37,048,230.82/5,670.79
  6. Step 6: Final answer
    x = 6,533.17

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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.