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Finding the Fourth Proportional to 5,698.87, 8,528.85 and 4,775.47

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Solution

The fourth proportional to 5,698.87, 8,528.85 and 4,775.47 is: 7,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.87 : 8,528.85 = 4,775.47 : x
  2. Step 2: Convert to fraction form
    5,698.87/8,528.85 = 4,775.47/x
  3. Step 3: Cross multiply
    5,698.87x = 8,528.85 × 4,775.47
  4. Step 4: Simplify right side
    5,698.87x = 40,729,267.31
  5. Step 5: Solve for x
    x = 40,729,267.31/5,698.87
  6. Step 6: Final answer
    x = 7,146.90

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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.