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Finding the Fourth Proportional to 3,195.84, 4,402.72 and 3,048.22

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Solution

The fourth proportional to 3,195.84, 4,402.72 and 3,048.22 is: 4,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.84 : 4,402.72 = 3,048.22 : x
  2. Step 2: Convert to fraction form
    3,195.84/4,402.72 = 3,048.22/x
  3. Step 3: Cross multiply
    3,195.84x = 4,402.72 × 3,048.22
  4. Step 4: Simplify right side
    3,195.84x = 13,420,459.16
  5. Step 5: Solve for x
    x = 13,420,459.16/3,195.84
  6. Step 6: Final answer
    x = 4,199.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.