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Finding the Fourth Proportional to 5,776.75, 7,971.91 and 3,124.16

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Solution

The fourth proportional to 5,776.75, 7,971.91 and 3,124.16 is: 4,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.75 : 7,971.91 = 3,124.16 : x
  2. Step 2: Convert to fraction form
    5,776.75/7,971.91 = 3,124.16/x
  3. Step 3: Cross multiply
    5,776.75x = 7,971.91 × 3,124.16
  4. Step 4: Simplify right side
    5,776.75x = 24,905,482.49
  5. Step 5: Solve for x
    x = 24,905,482.49/5,776.75
  6. Step 6: Final answer
    x = 4,311.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.