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Finding the Fourth Proportional to 4,870.24, 7,304.10 and 1,406.68

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Solution

The fourth proportional to 4,870.24, 7,304.10 and 1,406.68 is: 2,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.24 : 7,304.10 = 1,406.68 : x
  2. Step 2: Convert to fraction form
    4,870.24/7,304.10 = 1,406.68/x
  3. Step 3: Cross multiply
    4,870.24x = 7,304.10 × 1,406.68
  4. Step 4: Simplify right side
    4,870.24x = 10,274,531.39
  5. Step 5: Solve for x
    x = 10,274,531.39/4,870.24
  6. Step 6: Final answer
    x = 2,109.66

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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.