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Finding the Fourth Proportional to 4,457.74, 6,682.18 and 2,113.63

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Solution

The fourth proportional to 4,457.74, 6,682.18 and 2,113.63 is: 3,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.74 : 6,682.18 = 2,113.63 : x
  2. Step 2: Convert to fraction form
    4,457.74/6,682.18 = 2,113.63/x
  3. Step 3: Cross multiply
    4,457.74x = 6,682.18 × 2,113.63
  4. Step 4: Simplify right side
    4,457.74x = 14,123,656.11
  5. Step 5: Solve for x
    x = 14,123,656.11/4,457.74
  6. Step 6: Final answer
    x = 3,168.34

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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.