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Finding the Fourth Proportional to 3,472.90, 5,210.26 and 1,392.53

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Solution

The fourth proportional to 3,472.90, 5,210.26 and 1,392.53 is: 2,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.90 : 5,210.26 = 1,392.53 : x
  2. Step 2: Convert to fraction form
    3,472.90/5,210.26 = 1,392.53/x
  3. Step 3: Cross multiply
    3,472.90x = 5,210.26 × 1,392.53
  4. Step 4: Simplify right side
    3,472.90x = 7,255,413.83
  5. Step 5: Solve for x
    x = 7,255,413.83/3,472.90
  6. Step 6: Final answer
    x = 2,089.15

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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.