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Finding the Fourth Proportional to 5,457.24, 7,530.88 and 3,219.24

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Solution

The fourth proportional to 5,457.24, 7,530.88 and 3,219.24 is: 4,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.24 : 7,530.88 = 3,219.24 : x
  2. Step 2: Convert to fraction form
    5,457.24/7,530.88 = 3,219.24/x
  3. Step 3: Cross multiply
    5,457.24x = 7,530.88 × 3,219.24
  4. Step 4: Simplify right side
    5,457.24x = 24,243,710.13
  5. Step 5: Solve for x
    x = 24,243,710.13/5,457.24
  6. Step 6: Final answer
    x = 4,442.49

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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.