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Finding the Fourth Proportional to 5,492.61, 8,235.27 and 3,851.15

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Solution

The fourth proportional to 5,492.61, 8,235.27 and 3,851.15 is: 5,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.61 : 8,235.27 = 3,851.15 : x
  2. Step 2: Convert to fraction form
    5,492.61/8,235.27 = 3,851.15/x
  3. Step 3: Cross multiply
    5,492.61x = 8,235.27 × 3,851.15
  4. Step 4: Simplify right side
    5,492.61x = 31,715,218.88
  5. Step 5: Solve for x
    x = 31,715,218.88/5,492.61
  6. Step 6: Final answer
    x = 5,774.16

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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.