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Finding the Fourth Proportional to 5,339.53, 8,011.01 and 2,566.40

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Solution

The fourth proportional to 5,339.53, 8,011.01 and 2,566.40 is: 3,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.53 : 8,011.01 = 2,566.40 : x
  2. Step 2: Convert to fraction form
    5,339.53/8,011.01 = 2,566.40/x
  3. Step 3: Cross multiply
    5,339.53x = 8,011.01 × 2,566.40
  4. Step 4: Simplify right side
    5,339.53x = 20,559,448.24
  5. Step 5: Solve for x
    x = 20,559,448.24/5,339.53
  6. Step 6: Final answer
    x = 3,850.42

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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.