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Finding the Fourth Proportional to 4,692.46, 7,044.12 and 2,746.06

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Solution

The fourth proportional to 4,692.46, 7,044.12 and 2,746.06 is: 4,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.46 : 7,044.12 = 2,746.06 : x
  2. Step 2: Convert to fraction form
    4,692.46/7,044.12 = 2,746.06/x
  3. Step 3: Cross multiply
    4,692.46x = 7,044.12 × 2,746.06
  4. Step 4: Simplify right side
    4,692.46x = 19,343,576.17
  5. Step 5: Solve for x
    x = 19,343,576.17/4,692.46
  6. Step 6: Final answer
    x = 4,122.27

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Why These Related Problems?

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