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Finding the Fourth Proportional to 4,570.04, 6,855.42 and 2,261

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Solution

The fourth proportional to 4,570.04, 6,855.42 and 2,261 is: 3,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.04 : 6,855.42 = 2,261 : x
  2. Step 2: Convert to fraction form
    4,570.04/6,855.42 = 2,261/x
  3. Step 3: Cross multiply
    4,570.04x = 6,855.42 × 2,261
  4. Step 4: Simplify right side
    4,570.04x = 15,500,104.62
  5. Step 5: Solve for x
    x = 15,500,104.62/4,570.04
  6. Step 6: Final answer
    x = 3,391.68

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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.