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Finding the Fourth Proportional to 5,802.42, 8,687.07 and 5,434.60

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Solution

The fourth proportional to 5,802.42, 8,687.07 and 5,434.60 is: 8,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.42 : 8,687.07 = 5,434.60 : x
  2. Step 2: Convert to fraction form
    5,802.42/8,687.07 = 5,434.60/x
  3. Step 3: Cross multiply
    5,802.42x = 8,687.07 × 5,434.60
  4. Step 4: Simplify right side
    5,802.42x = 47,210,750.62
  5. Step 5: Solve for x
    x = 47,210,750.62/5,802.42
  6. Step 6: Final answer
    x = 8,136.39

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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.