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Finding the Fourth Proportional to 4,089.83, 6,135.14 and 1,492.16

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Solution

The fourth proportional to 4,089.83, 6,135.14 and 1,492.16 is: 2,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.83 : 6,135.14 = 1,492.16 : x
  2. Step 2: Convert to fraction form
    4,089.83/6,135.14 = 1,492.16/x
  3. Step 3: Cross multiply
    4,089.83x = 6,135.14 × 1,492.16
  4. Step 4: Simplify right side
    4,089.83x = 9,154,583.56
  5. Step 5: Solve for x
    x = 9,154,583.56/4,089.83
  6. Step 6: Final answer
    x = 2,238.38

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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.