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Finding the Fourth Proportional to 4,728.38, 7,088.15 and 1,606.25

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Solution

The fourth proportional to 4,728.38, 7,088.15 and 1,606.25 is: 2,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.38 : 7,088.15 = 1,606.25 : x
  2. Step 2: Convert to fraction form
    4,728.38/7,088.15 = 1,606.25/x
  3. Step 3: Cross multiply
    4,728.38x = 7,088.15 × 1,606.25
  4. Step 4: Simplify right side
    4,728.38x = 11,385,322.80
  5. Step 5: Solve for x
    x = 11,385,322.80/4,728.38
  6. Step 6: Final answer
    x = 2,407.87

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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.