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Finding the Fourth Proportional to 5,702.72, 8,554.98 and 2,415.84

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Solution

The fourth proportional to 5,702.72, 8,554.98 and 2,415.84 is: 3,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.72 : 8,554.98 = 2,415.84 : x
  2. Step 2: Convert to fraction form
    5,702.72/8,554.98 = 2,415.84/x
  3. Step 3: Cross multiply
    5,702.72x = 8,554.98 × 2,415.84
  4. Step 4: Simplify right side
    5,702.72x = 20,667,462.88
  5. Step 5: Solve for x
    x = 20,667,462.88/5,702.72
  6. Step 6: Final answer
    x = 3,624.14

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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.