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Finding the Fourth Proportional to 3,569.85, 5,354.85 and 972.80

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Solution

The fourth proportional to 3,569.85, 5,354.85 and 972.80 is: 1,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.85 : 5,354.85 = 972.80 : x
  2. Step 2: Convert to fraction form
    3,569.85/5,354.85 = 972.80/x
  3. Step 3: Cross multiply
    3,569.85x = 5,354.85 × 972.80
  4. Step 4: Simplify right side
    3,569.85x = 5,209,171.31
  5. Step 5: Solve for x
    x = 5,209,171.31/3,569.85
  6. Step 6: Final answer
    x = 1,459.21

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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.