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Finding the Fourth Proportional to 3,705.32, 5,114.28 and 2,290.22

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Solution

The fourth proportional to 3,705.32, 5,114.28 and 2,290.22 is: 3,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.32 : 5,114.28 = 2,290.22 : x
  2. Step 2: Convert to fraction form
    3,705.32/5,114.28 = 2,290.22/x
  3. Step 3: Cross multiply
    3,705.32x = 5,114.28 × 2,290.22
  4. Step 4: Simplify right side
    3,705.32x = 11,712,826.34
  5. Step 5: Solve for x
    x = 11,712,826.34/3,705.32
  6. Step 6: Final answer
    x = 3,161.08

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