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Finding the Fourth Proportional to 5,706.34, 8,558.02 and 2,417.74

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Solution

The fourth proportional to 5,706.34, 8,558.02 and 2,417.74 is: 3,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.34 : 8,558.02 = 2,417.74 : x
  2. Step 2: Convert to fraction form
    5,706.34/8,558.02 = 2,417.74/x
  3. Step 3: Cross multiply
    5,706.34x = 8,558.02 × 2,417.74
  4. Step 4: Simplify right side
    5,706.34x = 20,691,067.27
  5. Step 5: Solve for x
    x = 20,691,067.27/5,706.34
  6. Step 6: Final answer
    x = 3,625.98

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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.