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Finding the Fourth Proportional to 4,675.70, 7,013.55 and 3,266.30

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Solution

The fourth proportional to 4,675.70, 7,013.55 and 3,266.30 is: 4,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.70 : 7,013.55 = 3,266.30 : x
  2. Step 2: Convert to fraction form
    4,675.70/7,013.55 = 3,266.30/x
  3. Step 3: Cross multiply
    4,675.70x = 7,013.55 × 3,266.30
  4. Step 4: Simplify right side
    4,675.70x = 22,908,358.37
  5. Step 5: Solve for x
    x = 22,908,358.37/4,675.70
  6. Step 6: Final answer
    x = 4,899.45

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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.