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Finding the Fourth Proportional to 3,770.79, 5,203.06 and 2,354.23

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Solution

The fourth proportional to 3,770.79, 5,203.06 and 2,354.23 is: 3,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.79 : 5,203.06 = 2,354.23 : x
  2. Step 2: Convert to fraction form
    3,770.79/5,203.06 = 2,354.23/x
  3. Step 3: Cross multiply
    3,770.79x = 5,203.06 × 2,354.23
  4. Step 4: Simplify right side
    3,770.79x = 12,249,199.94
  5. Step 5: Solve for x
    x = 12,249,199.94/3,770.79
  6. Step 6: Final answer
    x = 3,248.44

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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.