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Finding the Fourth Proportional to 4,046.84, 6,070.80 and 1,413.95

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Solution

The fourth proportional to 4,046.84, 6,070.80 and 1,413.95 is: 2,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.84 : 6,070.80 = 1,413.95 : x
  2. Step 2: Convert to fraction form
    4,046.84/6,070.80 = 1,413.95/x
  3. Step 3: Cross multiply
    4,046.84x = 6,070.80 × 1,413.95
  4. Step 4: Simplify right side
    4,046.84x = 8,583,808.80
  5. Step 5: Solve for x
    x = 8,583,808.80/4,046.84
  6. Step 6: Final answer
    x = 2,121.11

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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.