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Finding the Fourth Proportional to 4,093.16, 6,136.16 and 1,460.25

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Solution

The fourth proportional to 4,093.16, 6,136.16 and 1,460.25 is: 2,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.16 : 6,136.16 = 1,460.25 : x
  2. Step 2: Convert to fraction form
    4,093.16/6,136.16 = 1,460.25/x
  3. Step 3: Cross multiply
    4,093.16x = 6,136.16 × 1,460.25
  4. Step 4: Simplify right side
    4,093.16x = 8,960,320.34
  5. Step 5: Solve for x
    x = 8,960,320.34/4,093.16
  6. Step 6: Final answer
    x = 2,189.10

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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.