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Finding the Fourth Proportional to 6,038.06, 9,055.44 and 1,654.47

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Solution

The fourth proportional to 6,038.06, 9,055.44 and 1,654.47 is: 2,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.06 : 9,055.44 = 1,654.47 : x
  2. Step 2: Convert to fraction form
    6,038.06/9,055.44 = 1,654.47/x
  3. Step 3: Cross multiply
    6,038.06x = 9,055.44 × 1,654.47
  4. Step 4: Simplify right side
    6,038.06x = 14,981,953.82
  5. Step 5: Solve for x
    x = 14,981,953.82/6,038.06
  6. Step 6: Final answer
    x = 2,481.25

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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.