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Finding the Fourth Proportional to 3,534.34, 4,877.43 and 1,941.07

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Solution

The fourth proportional to 3,534.34, 4,877.43 and 1,941.07 is: 2,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.34 : 4,877.43 = 1,941.07 : x
  2. Step 2: Convert to fraction form
    3,534.34/4,877.43 = 1,941.07/x
  3. Step 3: Cross multiply
    3,534.34x = 4,877.43 × 1,941.07
  4. Step 4: Simplify right side
    3,534.34x = 9,467,433.05
  5. Step 5: Solve for x
    x = 9,467,433.05/3,534.34
  6. Step 6: Final answer
    x = 2,678.70

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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.