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Finding the Fourth Proportional to 3,492.22, 5,218.16 and 2,642.35

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Solution

The fourth proportional to 3,492.22, 5,218.16 and 2,642.35 is: 3,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.22 : 5,218.16 = 2,642.35 : x
  2. Step 2: Convert to fraction form
    3,492.22/5,218.16 = 2,642.35/x
  3. Step 3: Cross multiply
    3,492.22x = 5,218.16 × 2,642.35
  4. Step 4: Simplify right side
    3,492.22x = 13,788,205.08
  5. Step 5: Solve for x
    x = 13,788,205.08/3,492.22
  6. Step 6: Final answer
    x = 3,948.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.