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Finding the Fourth Proportional to 5,977.20, 8,927.55 and 5,413.49

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Solution

The fourth proportional to 5,977.20, 8,927.55 and 5,413.49 is: 8,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.20 : 8,927.55 = 5,413.49 : x
  2. Step 2: Convert to fraction form
    5,977.20/8,927.55 = 5,413.49/x
  3. Step 3: Cross multiply
    5,977.20x = 8,927.55 × 5,413.49
  4. Step 4: Simplify right side
    5,977.20x = 48,329,158.01
  5. Step 5: Solve for x
    x = 48,329,158.01/5,977.20
  6. Step 6: Final answer
    x = 8,085.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.