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Finding the Fourth Proportional to 4,884.98, 7,325.93 and 1,764.57

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Solution

The fourth proportional to 4,884.98, 7,325.93 and 1,764.57 is: 2,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.98 : 7,325.93 = 1,764.57 : x
  2. Step 2: Convert to fraction form
    4,884.98/7,325.93 = 1,764.57/x
  3. Step 3: Cross multiply
    4,884.98x = 7,325.93 × 1,764.57
  4. Step 4: Simplify right side
    4,884.98x = 12,927,120.71
  5. Step 5: Solve for x
    x = 12,927,120.71/4,884.98
  6. Step 6: Final answer
    x = 2,646.30

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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.