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Finding the Fourth Proportional to 5,730.68, 7,907.02 and 3,372.98

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Solution

The fourth proportional to 5,730.68, 7,907.02 and 3,372.98 is: 4,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.68 : 7,907.02 = 3,372.98 : x
  2. Step 2: Convert to fraction form
    5,730.68/7,907.02 = 3,372.98/x
  3. Step 3: Cross multiply
    5,730.68x = 7,907.02 × 3,372.98
  4. Step 4: Simplify right side
    5,730.68x = 26,670,172.35
  5. Step 5: Solve for x
    x = 26,670,172.35/5,730.68
  6. Step 6: Final answer
    x = 4,653.93

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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.