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Finding the Fourth Proportional to 6,051.42, 8,348.00 and 3,689.46

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Solution

The fourth proportional to 6,051.42, 8,348.00 and 3,689.46 is: 5,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.42 : 8,348.00 = 3,689.46 : x
  2. Step 2: Convert to fraction form
    6,051.42/8,348.00 = 3,689.46/x
  3. Step 3: Cross multiply
    6,051.42x = 8,348.00 × 3,689.46
  4. Step 4: Simplify right side
    6,051.42x = 30,799,593.63
  5. Step 5: Solve for x
    x = 30,799,593.63/6,051.42
  6. Step 6: Final answer
    x = 5,089.65

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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.