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Finding the Fourth Proportional to 3,161.52, 4,705.94 and 3,114.74

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Solution

The fourth proportional to 3,161.52, 4,705.94 and 3,114.74 is: 4,636.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.52 : 4,705.94 = 3,114.74 : x
  2. Step 2: Convert to fraction form
    3,161.52/4,705.94 = 3,114.74/x
  3. Step 3: Cross multiply
    3,161.52x = 4,705.94 × 3,114.74
  4. Step 4: Simplify right side
    3,161.52x = 14,657,799.11
  5. Step 5: Solve for x
    x = 14,657,799.11/3,161.52
  6. Step 6: Final answer
    x = 4,636.31

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