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Finding the Fourth Proportional to 4,880.40, 7,290.94 and 3,111.31

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Solution

The fourth proportional to 4,880.40, 7,290.94 and 3,111.31 is: 4,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.40 : 7,290.94 = 3,111.31 : x
  2. Step 2: Convert to fraction form
    4,880.40/7,290.94 = 3,111.31/x
  3. Step 3: Cross multiply
    4,880.40x = 7,290.94 × 3,111.31
  4. Step 4: Simplify right side
    4,880.40x = 22,684,372.95
  5. Step 5: Solve for x
    x = 22,684,372.95/4,880.40
  6. Step 6: Final answer
    x = 4,648.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.