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Finding the Fourth Proportional to 5,704.38, 8,537.10 and 4,780.98

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Solution

The fourth proportional to 5,704.38, 8,537.10 and 4,780.98 is: 7,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.38 : 8,537.10 = 4,780.98 : x
  2. Step 2: Convert to fraction form
    5,704.38/8,537.10 = 4,780.98/x
  3. Step 3: Cross multiply
    5,704.38x = 8,537.10 × 4,780.98
  4. Step 4: Simplify right side
    5,704.38x = 40,815,704.36
  5. Step 5: Solve for x
    x = 40,815,704.36/5,704.38
  6. Step 6: Final answer
    x = 7,155.15

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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.