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Finding the Fourth Proportional to 5,701.48, 7,868.26 and 4,706.28

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Solution

The fourth proportional to 5,701.48, 7,868.26 and 4,706.28 is: 6,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.48 : 7,868.26 = 4,706.28 : x
  2. Step 2: Convert to fraction form
    5,701.48/7,868.26 = 4,706.28/x
  3. Step 3: Cross multiply
    5,701.48x = 7,868.26 × 4,706.28
  4. Step 4: Simplify right side
    5,701.48x = 37,030,234.67
  5. Step 5: Solve for x
    x = 37,030,234.67/5,701.48
  6. Step 6: Final answer
    x = 6,494.85

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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.