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Finding the Fourth Proportional to 5,222.58, 7,210.42 and 3,456.66

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Solution

The fourth proportional to 5,222.58, 7,210.42 and 3,456.66 is: 4,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.58 : 7,210.42 = 3,456.66 : x
  2. Step 2: Convert to fraction form
    5,222.58/7,210.42 = 3,456.66/x
  3. Step 3: Cross multiply
    5,222.58x = 7,210.42 × 3,456.66
  4. Step 4: Simplify right side
    5,222.58x = 24,923,970.40
  5. Step 5: Solve for x
    x = 24,923,970.40/5,222.58
  6. Step 6: Final answer
    x = 4,772.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.