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Finding the Fourth Proportional to 3,407.44, 5,111.28 and 1,457.68

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Solution

The fourth proportional to 3,407.44, 5,111.28 and 1,457.68 is: 2,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.44 : 5,111.28 = 1,457.68 : x
  2. Step 2: Convert to fraction form
    3,407.44/5,111.28 = 1,457.68/x
  3. Step 3: Cross multiply
    3,407.44x = 5,111.28 × 1,457.68
  4. Step 4: Simplify right side
    3,407.44x = 7,450,610.63
  5. Step 5: Solve for x
    x = 7,450,610.63/3,407.44
  6. Step 6: Final answer
    x = 2,186.57

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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.