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Finding the Fourth Proportional to 5,233.69, 7,885.44 and 4,733.94

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Solution

The fourth proportional to 5,233.69, 7,885.44 and 4,733.94 is: 7,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.69 : 7,885.44 = 4,733.94 : x
  2. Step 2: Convert to fraction form
    5,233.69/7,885.44 = 4,733.94/x
  3. Step 3: Cross multiply
    5,233.69x = 7,885.44 × 4,733.94
  4. Step 4: Simplify right side
    5,233.69x = 37,329,176.18
  5. Step 5: Solve for x
    x = 37,329,176.18/5,233.69
  6. Step 6: Final answer
    x = 7,132.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.