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Finding the Fourth Proportional to 5,668.40, 8,510.70 and 4,291.40

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Solution

The fourth proportional to 5,668.40, 8,510.70 and 4,291.40 is: 6,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.40 : 8,510.70 = 4,291.40 : x
  2. Step 2: Convert to fraction form
    5,668.40/8,510.70 = 4,291.40/x
  3. Step 3: Cross multiply
    5,668.40x = 8,510.70 × 4,291.40
  4. Step 4: Simplify right side
    5,668.40x = 36,522,817.98
  5. Step 5: Solve for x
    x = 36,522,817.98/5,668.40
  6. Step 6: Final answer
    x = 6,443.23

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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.