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Finding the Fourth Proportional to 6,457.16, 8,910.94 and 4,217.70

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Solution

The fourth proportional to 6,457.16, 8,910.94 and 4,217.70 is: 5,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.16 : 8,910.94 = 4,217.70 : x
  2. Step 2: Convert to fraction form
    6,457.16/8,910.94 = 4,217.70/x
  3. Step 3: Cross multiply
    6,457.16x = 8,910.94 × 4,217.70
  4. Step 4: Simplify right side
    6,457.16x = 37,583,671.64
  5. Step 5: Solve for x
    x = 37,583,671.64/6,457.16
  6. Step 6: Final answer
    x = 5,820.46

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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.