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Finding the Fourth Proportional to 4,728.06, 7,093.15 and 1,565.49

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Solution

The fourth proportional to 4,728.06, 7,093.15 and 1,565.49 is: 2,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.06 : 7,093.15 = 1,565.49 : x
  2. Step 2: Convert to fraction form
    4,728.06/7,093.15 = 1,565.49/x
  3. Step 3: Cross multiply
    4,728.06x = 7,093.15 × 1,565.49
  4. Step 4: Simplify right side
    4,728.06x = 11,104,212.10
  5. Step 5: Solve for x
    x = 11,104,212.10/4,728.06
  6. Step 6: Final answer
    x = 2,348.58

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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.