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Finding the Fourth Proportional to 5,852.75, 8,778.47 and 1,470.22

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Solution

The fourth proportional to 5,852.75, 8,778.47 and 1,470.22 is: 2,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.75 : 8,778.47 = 1,470.22 : x
  2. Step 2: Convert to fraction form
    5,852.75/8,778.47 = 1,470.22/x
  3. Step 3: Cross multiply
    5,852.75x = 8,778.47 × 1,470.22
  4. Step 4: Simplify right side
    5,852.75x = 12,906,252.87
  5. Step 5: Solve for x
    x = 12,906,252.87/5,852.75
  6. Step 6: Final answer
    x = 2,205.16

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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.