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Finding the Fourth Proportional to 4,059.51, 6,089.31 and 1,462.47

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Solution

The fourth proportional to 4,059.51, 6,089.31 and 1,462.47 is: 2,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.51 : 6,089.31 = 1,462.47 : x
  2. Step 2: Convert to fraction form
    4,059.51/6,089.31 = 1,462.47/x
  3. Step 3: Cross multiply
    4,059.51x = 6,089.31 × 1,462.47
  4. Step 4: Simplify right side
    4,059.51x = 8,905,433.20
  5. Step 5: Solve for x
    x = 8,905,433.20/4,059.51
  6. Step 6: Final answer
    x = 2,193.72

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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.