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Finding the Fourth Proportional to 5,802.14, 8,706.56 and 2,515.57

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Solution

The fourth proportional to 5,802.14, 8,706.56 and 2,515.57 is: 3,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.14 : 8,706.56 = 2,515.57 : x
  2. Step 2: Convert to fraction form
    5,802.14/8,706.56 = 2,515.57/x
  3. Step 3: Cross multiply
    5,802.14x = 8,706.56 × 2,515.57
  4. Step 4: Simplify right side
    5,802.14x = 21,901,926.79
  5. Step 5: Solve for x
    x = 21,901,926.79/5,802.14
  6. Step 6: Final answer
    x = 3,774.80

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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.