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Finding the Fourth Proportional to 5,370, 8,056.50 and 2,248.98

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Solution

The fourth proportional to 5,370, 8,056.50 and 2,248.98 is: 3,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370 : 8,056.50 = 2,248.98 : x
  2. Step 2: Convert to fraction form
    5,370/8,056.50 = 2,248.98/x
  3. Step 3: Cross multiply
    5,370x = 8,056.50 × 2,248.98
  4. Step 4: Simplify right side
    5,370x = 18,118,907.37
  5. Step 5: Solve for x
    x = 18,118,907.37/5,370
  6. Step 6: Final answer
    x = 3,374.10

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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.