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Finding the Fourth Proportional to 6,089.60, 9,129.94 and 1,927.28

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Solution

The fourth proportional to 6,089.60, 9,129.94 and 1,927.28 is: 2,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.60 : 9,129.94 = 1,927.28 : x
  2. Step 2: Convert to fraction form
    6,089.60/9,129.94 = 1,927.28/x
  3. Step 3: Cross multiply
    6,089.60x = 9,129.94 × 1,927.28
  4. Step 4: Simplify right side
    6,089.60x = 17,595,950.76
  5. Step 5: Solve for x
    x = 17,595,950.76/6,089.60
  6. Step 6: Final answer
    x = 2,889.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.