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Finding the Fourth Proportional to 3,849.85, 5,774.77 and 928.16

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Solution

The fourth proportional to 3,849.85, 5,774.77 and 928.16 is: 1,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.85 : 5,774.77 = 928.16 : x
  2. Step 2: Convert to fraction form
    3,849.85/5,774.77 = 928.16/x
  3. Step 3: Cross multiply
    3,849.85x = 5,774.77 × 928.16
  4. Step 4: Simplify right side
    3,849.85x = 5,359,904.46
  5. Step 5: Solve for x
    x = 5,359,904.46/3,849.85
  6. Step 6: Final answer
    x = 1,392.24

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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.