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Finding the Fourth Proportional to 3,492.96, 5,242.56 and 3,122.16

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Solution

The fourth proportional to 3,492.96, 5,242.56 and 3,122.16 is: 4,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.96 : 5,242.56 = 3,122.16 : x
  2. Step 2: Convert to fraction form
    3,492.96/5,242.56 = 3,122.16/x
  3. Step 3: Cross multiply
    3,492.96x = 5,242.56 × 3,122.16
  4. Step 4: Simplify right side
    3,492.96x = 16,368,111.13
  5. Step 5: Solve for x
    x = 16,368,111.13/3,492.96
  6. Step 6: Final answer
    x = 4,686.03

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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.