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Finding the Fourth Proportional to 4,110.66, 6,165.99 and 3,492.90

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Solution

The fourth proportional to 4,110.66, 6,165.99 and 3,492.90 is: 5,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.66 : 6,165.99 = 3,492.90 : x
  2. Step 2: Convert to fraction form
    4,110.66/6,165.99 = 3,492.90/x
  3. Step 3: Cross multiply
    4,110.66x = 6,165.99 × 3,492.90
  4. Step 4: Simplify right side
    4,110.66x = 21,537,186.47
  5. Step 5: Solve for x
    x = 21,537,186.47/4,110.66
  6. Step 6: Final answer
    x = 5,239.35

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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.