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Finding the Fourth Proportional to 4,457.84, 6,151.83 and 2,468.48

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Solution

The fourth proportional to 4,457.84, 6,151.83 and 2,468.48 is: 3,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.84 : 6,151.83 = 2,468.48 : x
  2. Step 2: Convert to fraction form
    4,457.84/6,151.83 = 2,468.48/x
  3. Step 3: Cross multiply
    4,457.84x = 6,151.83 × 2,468.48
  4. Step 4: Simplify right side
    4,457.84x = 15,185,669.32
  5. Step 5: Solve for x
    x = 15,185,669.32/4,457.84
  6. Step 6: Final answer
    x = 3,406.51

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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.