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Finding the Fourth Proportional to 4,352.71, 6,006.77 and 2,464.30

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Solution

The fourth proportional to 4,352.71, 6,006.77 and 2,464.30 is: 3,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.71 : 6,006.77 = 2,464.30 : x
  2. Step 2: Convert to fraction form
    4,352.71/6,006.77 = 2,464.30/x
  3. Step 3: Cross multiply
    4,352.71x = 6,006.77 × 2,464.30
  4. Step 4: Simplify right side
    4,352.71x = 14,802,483.31
  5. Step 5: Solve for x
    x = 14,802,483.31/4,352.71
  6. Step 6: Final answer
    x = 3,400.75

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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.