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Finding the Fourth Proportional to 5,484, 8,225.10 and 2,196.24

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Solution

The fourth proportional to 5,484, 8,225.10 and 2,196.24 is: 3,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484 : 8,225.10 = 2,196.24 : x
  2. Step 2: Convert to fraction form
    5,484/8,225.10 = 2,196.24/x
  3. Step 3: Cross multiply
    5,484x = 8,225.10 × 2,196.24
  4. Step 4: Simplify right side
    5,484x = 18,064,293.62
  5. Step 5: Solve for x
    x = 18,064,293.62/5,484
  6. Step 6: Final answer
    x = 3,294.00

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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.