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Finding the Fourth Proportional to 4,457.70, 6,151.07 and 2,569.05

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Solution

The fourth proportional to 4,457.70, 6,151.07 and 2,569.05 is: 3,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.70 : 6,151.07 = 2,569.05 : x
  2. Step 2: Convert to fraction form
    4,457.70/6,151.07 = 2,569.05/x
  3. Step 3: Cross multiply
    4,457.70x = 6,151.07 × 2,569.05
  4. Step 4: Simplify right side
    4,457.70x = 15,802,412.81
  5. Step 5: Solve for x
    x = 15,802,412.81/4,457.70
  6. Step 6: Final answer
    x = 3,544.97

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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.