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Finding the Fourth Proportional to 3,252.98, 4,879.48 and 945.02

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Solution

The fourth proportional to 3,252.98, 4,879.48 and 945.02 is: 1,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.98 : 4,879.48 = 945.02 : x
  2. Step 2: Convert to fraction form
    3,252.98/4,879.48 = 945.02/x
  3. Step 3: Cross multiply
    3,252.98x = 4,879.48 × 945.02
  4. Step 4: Simplify right side
    3,252.98x = 4,611,206.19
  5. Step 5: Solve for x
    x = 4,611,206.19/3,252.98
  6. Step 6: Final answer
    x = 1,417.53

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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.