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Finding the Fourth Proportional to 5,235.30, 7,855.47 and 2,602.98

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Solution

The fourth proportional to 5,235.30, 7,855.47 and 2,602.98 is: 3,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.30 : 7,855.47 = 2,602.98 : x
  2. Step 2: Convert to fraction form
    5,235.30/7,855.47 = 2,602.98/x
  3. Step 3: Cross multiply
    5,235.30x = 7,855.47 × 2,602.98
  4. Step 4: Simplify right side
    5,235.30x = 20,447,631.30
  5. Step 5: Solve for x
    x = 20,447,631.30/5,235.30
  6. Step 6: Final answer
    x = 3,905.72

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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.