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Finding the Fourth Proportional to 5,602.84, 7,729.30 and 3,614.02

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Solution

The fourth proportional to 5,602.84, 7,729.30 and 3,614.02 is: 4,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.84 : 7,729.30 = 3,614.02 : x
  2. Step 2: Convert to fraction form
    5,602.84/7,729.30 = 3,614.02/x
  3. Step 3: Cross multiply
    5,602.84x = 7,729.30 × 3,614.02
  4. Step 4: Simplify right side
    5,602.84x = 27,933,844.79
  5. Step 5: Solve for x
    x = 27,933,844.79/5,602.84
  6. Step 6: Final answer
    x = 4,985.66

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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.