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Finding the Fourth Proportional to 5,534.61, 8,302.02 and 1,837.14

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Solution

The fourth proportional to 5,534.61, 8,302.02 and 1,837.14 is: 2,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.61 : 8,302.02 = 1,837.14 : x
  2. Step 2: Convert to fraction form
    5,534.61/8,302.02 = 1,837.14/x
  3. Step 3: Cross multiply
    5,534.61x = 8,302.02 × 1,837.14
  4. Step 4: Simplify right side
    5,534.61x = 15,251,973.02
  5. Step 5: Solve for x
    x = 15,251,973.02/5,534.61
  6. Step 6: Final answer
    x = 2,755.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.