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Finding the Fourth Proportional to 5,723.64, 7,888.32 and 3,624.12

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Solution

The fourth proportional to 5,723.64, 7,888.32 and 3,624.12 is: 4,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.64 : 7,888.32 = 3,624.12 : x
  2. Step 2: Convert to fraction form
    5,723.64/7,888.32 = 3,624.12/x
  3. Step 3: Cross multiply
    5,723.64x = 7,888.32 × 3,624.12
  4. Step 4: Simplify right side
    5,723.64x = 28,588,218.28
  5. Step 5: Solve for x
    x = 28,588,218.28/5,723.64
  6. Step 6: Final answer
    x = 4,994.76

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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.