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Finding the Fourth Proportional to 4,664.36, 6,429.86 and 3,089.72

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Solution

The fourth proportional to 4,664.36, 6,429.86 and 3,089.72 is: 4,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.36 : 6,429.86 = 3,089.72 : x
  2. Step 2: Convert to fraction form
    4,664.36/6,429.86 = 3,089.72/x
  3. Step 3: Cross multiply
    4,664.36x = 6,429.86 × 3,089.72
  4. Step 4: Simplify right side
    4,664.36x = 19,866,467.04
  5. Step 5: Solve for x
    x = 19,866,467.04/4,664.36
  6. Step 6: Final answer
    x = 4,259.21

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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.