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Finding the Fourth Proportional to 4,859.40, 7,289.82 and 1,571.40

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Solution

The fourth proportional to 4,859.40, 7,289.82 and 1,571.40 is: 2,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.40 : 7,289.82 = 1,571.40 : x
  2. Step 2: Convert to fraction form
    4,859.40/7,289.82 = 1,571.40/x
  3. Step 3: Cross multiply
    4,859.40x = 7,289.82 × 1,571.40
  4. Step 4: Simplify right side
    4,859.40x = 11,455,223.15
  5. Step 5: Solve for x
    x = 11,455,223.15/4,859.40
  6. Step 6: Final answer
    x = 2,357.33

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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.