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Finding the Fourth Proportional to 3,492.47, 4,817.16 and 2,297.08

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Solution

The fourth proportional to 3,492.47, 4,817.16 and 2,297.08 is: 3,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.47 : 4,817.16 = 2,297.08 : x
  2. Step 2: Convert to fraction form
    3,492.47/4,817.16 = 2,297.08/x
  3. Step 3: Cross multiply
    3,492.47x = 4,817.16 × 2,297.08
  4. Step 4: Simplify right side
    3,492.47x = 11,065,407.50
  5. Step 5: Solve for x
    x = 11,065,407.50/3,492.47
  6. Step 6: Final answer
    x = 3,168.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.