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Finding the Fourth Proportional to 4,722.95, 7,112.54 and 4,114.01

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Solution

The fourth proportional to 4,722.95, 7,112.54 and 4,114.01 is: 6,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.95 : 7,112.54 = 4,114.01 : x
  2. Step 2: Convert to fraction form
    4,722.95/7,112.54 = 4,114.01/x
  3. Step 3: Cross multiply
    4,722.95x = 7,112.54 × 4,114.01
  4. Step 4: Simplify right side
    4,722.95x = 29,261,088.75
  5. Step 5: Solve for x
    x = 29,261,088.75/4,722.95
  6. Step 6: Final answer
    x = 6,195.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.