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Finding the Fourth Proportional to 5,981.93, 8,944.40 and 5,459.10

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Solution

The fourth proportional to 5,981.93, 8,944.40 and 5,459.10 is: 8,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.93 : 8,944.40 = 5,459.10 : x
  2. Step 2: Convert to fraction form
    5,981.93/8,944.40 = 5,459.10/x
  3. Step 3: Cross multiply
    5,981.93x = 8,944.40 × 5,459.10
  4. Step 4: Simplify right side
    5,981.93x = 48,828,354.15
  5. Step 5: Solve for x
    x = 48,828,354.15/5,981.93
  6. Step 6: Final answer
    x = 8,162.64

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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.