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Finding the Fourth Proportional to 3,274.21, 4,518.54 and 1,877.23

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Solution

The fourth proportional to 3,274.21, 4,518.54 and 1,877.23 is: 2,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.21 : 4,518.54 = 1,877.23 : x
  2. Step 2: Convert to fraction form
    3,274.21/4,518.54 = 1,877.23/x
  3. Step 3: Cross multiply
    3,274.21x = 4,518.54 × 1,877.23
  4. Step 4: Simplify right side
    3,274.21x = 8,482,338.84
  5. Step 5: Solve for x
    x = 8,482,338.84/3,274.21
  6. Step 6: Final answer
    x = 2,590.65

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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.