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Finding the Fourth Proportional to 3,670.19, 5,065.76 and 2,254.22

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Solution

The fourth proportional to 3,670.19, 5,065.76 and 2,254.22 is: 3,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.19 : 5,065.76 = 2,254.22 : x
  2. Step 2: Convert to fraction form
    3,670.19/5,065.76 = 2,254.22/x
  3. Step 3: Cross multiply
    3,670.19x = 5,065.76 × 2,254.22
  4. Step 4: Simplify right side
    3,670.19x = 11,419,312.18
  5. Step 5: Solve for x
    x = 11,419,312.18/3,670.19
  6. Step 6: Final answer
    x = 3,111.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.