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Finding the Fourth Proportional to 4,924.04, 7,384.38 and 1,413.11

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Solution

The fourth proportional to 4,924.04, 7,384.38 and 1,413.11 is: 2,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.04 : 7,384.38 = 1,413.11 : x
  2. Step 2: Convert to fraction form
    4,924.04/7,384.38 = 1,413.11/x
  3. Step 3: Cross multiply
    4,924.04x = 7,384.38 × 1,413.11
  4. Step 4: Simplify right side
    4,924.04x = 10,434,941.22
  5. Step 5: Solve for x
    x = 10,434,941.22/4,924.04
  6. Step 6: Final answer
    x = 2,119.18

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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.