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Finding the Fourth Proportional to 5,457.54, 7,531.08 and 3,219.50

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Solution

The fourth proportional to 5,457.54, 7,531.08 and 3,219.50 is: 4,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.54 : 7,531.08 = 3,219.50 : x
  2. Step 2: Convert to fraction form
    5,457.54/7,531.08 = 3,219.50/x
  3. Step 3: Cross multiply
    5,457.54x = 7,531.08 × 3,219.50
  4. Step 4: Simplify right side
    5,457.54x = 24,246,312.06
  5. Step 5: Solve for x
    x = 24,246,312.06/5,457.54
  6. Step 6: Final answer
    x = 4,442.72

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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.