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Finding the Fourth Proportional to 3,535.92, 5,302.19 and 1,069.74

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Solution

The fourth proportional to 3,535.92, 5,302.19 and 1,069.74 is: 1,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.92 : 5,302.19 = 1,069.74 : x
  2. Step 2: Convert to fraction form
    3,535.92/5,302.19 = 1,069.74/x
  3. Step 3: Cross multiply
    3,535.92x = 5,302.19 × 1,069.74
  4. Step 4: Simplify right side
    3,535.92x = 5,671,967.40
  5. Step 5: Solve for x
    x = 5,671,967.40/3,535.92
  6. Step 6: Final answer
    x = 1,604.10

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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.