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Finding the Fourth Proportional to 4,690.33, 7,034.08 and 1,569.54

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Solution

The fourth proportional to 4,690.33, 7,034.08 and 1,569.54 is: 2,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.33 : 7,034.08 = 1,569.54 : x
  2. Step 2: Convert to fraction form
    4,690.33/7,034.08 = 1,569.54/x
  3. Step 3: Cross multiply
    4,690.33x = 7,034.08 × 1,569.54
  4. Step 4: Simplify right side
    4,690.33x = 11,040,269.92
  5. Step 5: Solve for x
    x = 11,040,269.92/4,690.33
  6. Step 6: Final answer
    x = 2,353.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.