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Finding the Fourth Proportional to 5,984.74, 8,977.11 and 2,864.01

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Solution

The fourth proportional to 5,984.74, 8,977.11 and 2,864.01 is: 4,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.74 : 8,977.11 = 2,864.01 : x
  2. Step 2: Convert to fraction form
    5,984.74/8,977.11 = 2,864.01/x
  3. Step 3: Cross multiply
    5,984.74x = 8,977.11 × 2,864.01
  4. Step 4: Simplify right side
    5,984.74x = 25,710,532.81
  5. Step 5: Solve for x
    x = 25,710,532.81/5,984.74
  6. Step 6: Final answer
    x = 4,296.02

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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.