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Finding the Fourth Proportional to 3,407.51, 5,113.25 and 1,432.99

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Solution

The fourth proportional to 3,407.51, 5,113.25 and 1,432.99 is: 2,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.51 : 5,113.25 = 1,432.99 : x
  2. Step 2: Convert to fraction form
    3,407.51/5,113.25 = 1,432.99/x
  3. Step 3: Cross multiply
    3,407.51x = 5,113.25 × 1,432.99
  4. Step 4: Simplify right side
    3,407.51x = 7,327,216.17
  5. Step 5: Solve for x
    x = 7,327,216.17/3,407.51
  6. Step 6: Final answer
    x = 2,150.31

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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.