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Finding the Fourth Proportional to 6,457.12, 8,910.71 and 3,624.50

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Solution

The fourth proportional to 6,457.12, 8,910.71 and 3,624.50 is: 5,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.12 : 8,910.71 = 3,624.50 : x
  2. Step 2: Convert to fraction form
    6,457.12/8,910.71 = 3,624.50/x
  3. Step 3: Cross multiply
    6,457.12x = 8,910.71 × 3,624.50
  4. Step 4: Simplify right side
    6,457.12x = 32,296,836.02
  5. Step 5: Solve for x
    x = 32,296,836.02/6,457.12
  6. Step 6: Final answer
    x = 5,001.74

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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.