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Finding the Fourth Proportional to 4,600.64, 6,903.32 and 2,005.36

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Solution

The fourth proportional to 4,600.64, 6,903.32 and 2,005.36 is: 3,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.64 : 6,903.32 = 2,005.36 : x
  2. Step 2: Convert to fraction form
    4,600.64/6,903.32 = 2,005.36/x
  3. Step 3: Cross multiply
    4,600.64x = 6,903.32 × 2,005.36
  4. Step 4: Simplify right side
    4,600.64x = 13,843,641.80
  5. Step 5: Solve for x
    x = 13,843,641.80/4,600.64
  6. Step 6: Final answer
    x = 3,009.07

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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.