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Finding the Fourth Proportional to 5,977.45, 8,927.93 and 5,413.74

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Solution

The fourth proportional to 5,977.45, 8,927.93 and 5,413.74 is: 8,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.45 : 8,927.93 = 5,413.74 : x
  2. Step 2: Convert to fraction form
    5,977.45/8,927.93 = 5,413.74/x
  3. Step 3: Cross multiply
    5,977.45x = 8,927.93 × 5,413.74
  4. Step 4: Simplify right side
    5,977.45x = 48,333,491.76
  5. Step 5: Solve for x
    x = 48,333,491.76/5,977.45
  6. Step 6: Final answer
    x = 8,085.97

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