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Finding the Fourth Proportional to 4,806.42, 7,210.02 and 1,343.64

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Solution

The fourth proportional to 4,806.42, 7,210.02 and 1,343.64 is: 2,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.42 : 7,210.02 = 1,343.64 : x
  2. Step 2: Convert to fraction form
    4,806.42/7,210.02 = 1,343.64/x
  3. Step 3: Cross multiply
    4,806.42x = 7,210.02 × 1,343.64
  4. Step 4: Simplify right side
    4,806.42x = 9,687,671.27
  5. Step 5: Solve for x
    x = 9,687,671.27/4,806.42
  6. Step 6: Final answer
    x = 2,015.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.