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Finding the Fourth Proportional to 4,051.97, 6,078.45 and 1,586.47

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Solution

The fourth proportional to 4,051.97, 6,078.45 and 1,586.47 is: 2,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.97 : 6,078.45 = 1,586.47 : x
  2. Step 2: Convert to fraction form
    4,051.97/6,078.45 = 1,586.47/x
  3. Step 3: Cross multiply
    4,051.97x = 6,078.45 × 1,586.47
  4. Step 4: Simplify right side
    4,051.97x = 9,643,248.18
  5. Step 5: Solve for x
    x = 9,643,248.18/4,051.97
  6. Step 6: Final answer
    x = 2,379.89

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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.