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Finding the Fourth Proportional to 5,876.16, 8,816.68 and 2,415.84

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Solution

The fourth proportional to 5,876.16, 8,816.68 and 2,415.84 is: 3,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.16 : 8,816.68 = 2,415.84 : x
  2. Step 2: Convert to fraction form
    5,876.16/8,816.68 = 2,415.84/x
  3. Step 3: Cross multiply
    5,876.16x = 8,816.68 × 2,415.84
  4. Step 4: Simplify right side
    5,876.16x = 21,299,688.21
  5. Step 5: Solve for x
    x = 21,299,688.21/5,876.16
  6. Step 6: Final answer
    x = 3,624.76

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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.