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Finding the Fourth Proportional to 3,488.42, 4,808.49 and 3,419.30

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Solution

The fourth proportional to 3,488.42, 4,808.49 and 3,419.30 is: 4,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.42 : 4,808.49 = 3,419.30 : x
  2. Step 2: Convert to fraction form
    3,488.42/4,808.49 = 3,419.30/x
  3. Step 3: Cross multiply
    3,488.42x = 4,808.49 × 3,419.30
  4. Step 4: Simplify right side
    3,488.42x = 16,441,669.86
  5. Step 5: Solve for x
    x = 16,441,669.86/3,488.42
  6. Step 6: Final answer
    x = 4,713.21

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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.