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Finding the Fourth Proportional to 5,981.79, 8,253.96 and 3,464.14

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Solution

The fourth proportional to 5,981.79, 8,253.96 and 3,464.14 is: 4,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.79 : 8,253.96 = 3,464.14 : x
  2. Step 2: Convert to fraction form
    5,981.79/8,253.96 = 3,464.14/x
  3. Step 3: Cross multiply
    5,981.79x = 8,253.96 × 3,464.14
  4. Step 4: Simplify right side
    5,981.79x = 28,592,872.99
  5. Step 5: Solve for x
    x = 28,592,872.99/5,981.79
  6. Step 6: Final answer
    x = 4,779.99

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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.