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Finding the Fourth Proportional to 5,802.06, 8,711.98 and 5,114.53

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Solution

The fourth proportional to 5,802.06, 8,711.98 and 5,114.53 is: 7,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.06 : 8,711.98 = 5,114.53 : x
  2. Step 2: Convert to fraction form
    5,802.06/8,711.98 = 5,114.53/x
  3. Step 3: Cross multiply
    5,802.06x = 8,711.98 × 5,114.53
  4. Step 4: Simplify right side
    5,802.06x = 44,557,683.07
  5. Step 5: Solve for x
    x = 44,557,683.07/5,802.06
  6. Step 6: Final answer
    x = 7,679.63

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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.