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Finding the Fourth Proportional to 3,522.60, 5,283.90 and 925.50

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Solution

The fourth proportional to 3,522.60, 5,283.90 and 925.50 is: 1,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.60 : 5,283.90 = 925.50 : x
  2. Step 2: Convert to fraction form
    3,522.60/5,283.90 = 925.50/x
  3. Step 3: Cross multiply
    3,522.60x = 5,283.90 × 925.50
  4. Step 4: Simplify right side
    3,522.60x = 4,890,249.45
  5. Step 5: Solve for x
    x = 4,890,249.45/3,522.60
  6. Step 6: Final answer
    x = 1,388.25

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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.