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Finding the Fourth Proportional to 5,752.58, 7,943.54 and 5,457.33

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Solution

The fourth proportional to 5,752.58, 7,943.54 and 5,457.33 is: 7,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.58 : 7,943.54 = 5,457.33 : x
  2. Step 2: Convert to fraction form
    5,752.58/7,943.54 = 5,457.33/x
  3. Step 3: Cross multiply
    5,752.58x = 7,943.54 × 5,457.33
  4. Step 4: Simplify right side
    5,752.58x = 43,350,491.86
  5. Step 5: Solve for x
    x = 43,350,491.86/5,752.58
  6. Step 6: Final answer
    x = 7,535.84

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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.