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Finding the Fourth Proportional to 3,484.92, 4,805.70 and 3,233.16

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Solution

The fourth proportional to 3,484.92, 4,805.70 and 3,233.16 is: 4,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.92 : 4,805.70 = 3,233.16 : x
  2. Step 2: Convert to fraction form
    3,484.92/4,805.70 = 3,233.16/x
  3. Step 3: Cross multiply
    3,484.92x = 4,805.70 × 3,233.16
  4. Step 4: Simplify right side
    3,484.92x = 15,537,597.01
  5. Step 5: Solve for x
    x = 15,537,597.01/3,484.92
  6. Step 6: Final answer
    x = 4,458.52

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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.