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Finding the Fourth Proportional to 3,506.84, 5,266.72 and 2,353.40

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Solution

The fourth proportional to 3,506.84, 5,266.72 and 2,353.40 is: 3,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.84 : 5,266.72 = 2,353.40 : x
  2. Step 2: Convert to fraction form
    3,506.84/5,266.72 = 2,353.40/x
  3. Step 3: Cross multiply
    3,506.84x = 5,266.72 × 2,353.40
  4. Step 4: Simplify right side
    3,506.84x = 12,394,698.85
  5. Step 5: Solve for x
    x = 12,394,698.85/3,506.84
  6. Step 6: Final answer
    x = 3,534.44

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1.5x scale

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.