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Finding the Fourth Proportional to 3,257.40, 4,569 and 3,257.40

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Solution

The fourth proportional to 3,257.40, 4,569 and 3,257.40 is: 4,569

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.40 : 4,569 = 3,257.40 : x
  2. Step 2: Convert to fraction form
    3,257.40/4,569 = 3,257.40/x
  3. Step 3: Cross multiply
    3,257.40x = 4,569 × 3,257.40
  4. Step 4: Simplify right side
    3,257.40x = 14,883,060.60
  5. Step 5: Solve for x
    x = 14,883,060.60/3,257.40
  6. Step 6: Final answer
    x = 4,569

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.