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Finding the Fourth Proportional to 5,810.40, 8,706.96 and 3,834.72

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Solution

The fourth proportional to 5,810.40, 8,706.96 and 3,834.72 is: 5,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.40 : 8,706.96 = 3,834.72 : x
  2. Step 2: Convert to fraction form
    5,810.40/8,706.96 = 3,834.72/x
  3. Step 3: Cross multiply
    5,810.40x = 8,706.96 × 3,834.72
  4. Step 4: Simplify right side
    5,810.40x = 33,388,753.65
  5. Step 5: Solve for x
    x = 33,388,753.65/5,810.40
  6. Step 6: Final answer
    x = 5,746.38

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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.