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Finding the Fourth Proportional to 5,987.68, 8,977.04 and 4,133.50

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Solution

The fourth proportional to 5,987.68, 8,977.04 and 4,133.50 is: 6,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.68 : 8,977.04 = 4,133.50 : x
  2. Step 2: Convert to fraction form
    5,987.68/8,977.04 = 4,133.50/x
  3. Step 3: Cross multiply
    5,987.68x = 8,977.04 × 4,133.50
  4. Step 4: Simplify right side
    5,987.68x = 37,106,529.29
  5. Step 5: Solve for x
    x = 37,106,529.29/5,987.68
  6. Step 6: Final answer
    x = 6,197.15

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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.