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Finding the Fourth Proportional to 4,980, 7,470.03 and 1,282.23

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Solution

The fourth proportional to 4,980, 7,470.03 and 1,282.23 is: 1,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980 : 7,470.03 = 1,282.23 : x
  2. Step 2: Convert to fraction form
    4,980/7,470.03 = 1,282.23/x
  3. Step 3: Cross multiply
    4,980x = 7,470.03 × 1,282.23
  4. Step 4: Simplify right side
    4,980x = 9,578,296.57
  5. Step 5: Solve for x
    x = 9,578,296.57/4,980
  6. Step 6: Final answer
    x = 1,923.35

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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.