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Finding the Fourth Proportional to 5,111.90, 7,657.05 and 4,564.70

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Solution

The fourth proportional to 5,111.90, 7,657.05 and 4,564.70 is: 6,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.90 : 7,657.05 = 4,564.70 : x
  2. Step 2: Convert to fraction form
    5,111.90/7,657.05 = 4,564.70/x
  3. Step 3: Cross multiply
    5,111.90x = 7,657.05 × 4,564.70
  4. Step 4: Simplify right side
    5,111.90x = 34,952,136.14
  5. Step 5: Solve for x
    x = 34,952,136.14/5,111.90
  6. Step 6: Final answer
    x = 6,837.41

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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.