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Finding the Fourth Proportional to 4,645.08, 6,972.48 and 3,413.88

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Solution

The fourth proportional to 4,645.08, 6,972.48 and 3,413.88 is: 5,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.08 : 6,972.48 = 3,413.88 : x
  2. Step 2: Convert to fraction form
    4,645.08/6,972.48 = 3,413.88/x
  3. Step 3: Cross multiply
    4,645.08x = 6,972.48 × 3,413.88
  4. Step 4: Simplify right side
    4,645.08x = 23,803,210.02
  5. Step 5: Solve for x
    x = 23,803,210.02/4,645.08
  6. Step 6: Final answer
    x = 5,124.39

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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.