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Finding the Fourth Proportional to 4,913.92, 7,372.10 and 2,316.26

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Solution

The fourth proportional to 4,913.92, 7,372.10 and 2,316.26 is: 3,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.92 : 7,372.10 = 2,316.26 : x
  2. Step 2: Convert to fraction form
    4,913.92/7,372.10 = 2,316.26/x
  3. Step 3: Cross multiply
    4,913.92x = 7,372.10 × 2,316.26
  4. Step 4: Simplify right side
    4,913.92x = 17,075,700.35
  5. Step 5: Solve for x
    x = 17,075,700.35/4,913.92
  6. Step 6: Final answer
    x = 3,474.97

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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.