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Finding the Fourth Proportional to 4,059.56, 6,089.34 and 981.56

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Solution

The fourth proportional to 4,059.56, 6,089.34 and 981.56 is: 1,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.56 : 6,089.34 = 981.56 : x
  2. Step 2: Convert to fraction form
    4,059.56/6,089.34 = 981.56/x
  3. Step 3: Cross multiply
    4,059.56x = 6,089.34 × 981.56
  4. Step 4: Simplify right side
    4,059.56x = 5,977,071.47
  5. Step 5: Solve for x
    x = 5,977,071.47/4,059.56
  6. Step 6: Final answer
    x = 1,472.34

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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.