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Finding the Fourth Proportional to 5,756.90, 8,635.68 and 2,059.52

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Solution

The fourth proportional to 5,756.90, 8,635.68 and 2,059.52 is: 3,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.90 : 8,635.68 = 2,059.52 : x
  2. Step 2: Convert to fraction form
    5,756.90/8,635.68 = 2,059.52/x
  3. Step 3: Cross multiply
    5,756.90x = 8,635.68 × 2,059.52
  4. Step 4: Simplify right side
    5,756.90x = 17,785,312.50
  5. Step 5: Solve for x
    x = 17,785,312.50/5,756.90
  6. Step 6: Final answer
    x = 3,089.39

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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.