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Finding the Fourth Proportional to 5,344.81, 7,377.90 and 4,784.29

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Solution

The fourth proportional to 5,344.81, 7,377.90 and 4,784.29 is: 6,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.81 : 7,377.90 = 4,784.29 : x
  2. Step 2: Convert to fraction form
    5,344.81/7,377.90 = 4,784.29/x
  3. Step 3: Cross multiply
    5,344.81x = 7,377.90 × 4,784.29
  4. Step 4: Simplify right side
    5,344.81x = 35,298,013.19
  5. Step 5: Solve for x
    x = 35,298,013.19/5,344.81
  6. Step 6: Final answer
    x = 6,604.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.