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Finding the Fourth Proportional to 5,924.52, 8,887.98 and 1,764.60

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Solution

The fourth proportional to 5,924.52, 8,887.98 and 1,764.60 is: 2,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.52 : 8,887.98 = 1,764.60 : x
  2. Step 2: Convert to fraction form
    5,924.52/8,887.98 = 1,764.60/x
  3. Step 3: Cross multiply
    5,924.52x = 8,887.98 × 1,764.60
  4. Step 4: Simplify right side
    5,924.52x = 15,683,729.51
  5. Step 5: Solve for x
    x = 15,683,729.51/5,924.52
  6. Step 6: Final answer
    x = 2,647.26

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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.