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Finding the Fourth Proportional to 4,357.31, 6,012.77 and 2,468.93

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Solution

The fourth proportional to 4,357.31, 6,012.77 and 2,468.93 is: 3,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.31 : 6,012.77 = 2,468.93 : x
  2. Step 2: Convert to fraction form
    4,357.31/6,012.77 = 2,468.93/x
  3. Step 3: Cross multiply
    4,357.31x = 6,012.77 × 2,468.93
  4. Step 4: Simplify right side
    4,357.31x = 14,845,065.83
  5. Step 5: Solve for x
    x = 14,845,065.83/4,357.31
  6. Step 6: Final answer
    x = 3,406.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.