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Finding the Fourth Proportional to 5,277.34, 7,914.42 and 1,766.45

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Solution

The fourth proportional to 5,277.34, 7,914.42 and 1,766.45 is: 2,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.34 : 7,914.42 = 1,766.45 : x
  2. Step 2: Convert to fraction form
    5,277.34/7,914.42 = 1,766.45/x
  3. Step 3: Cross multiply
    5,277.34x = 7,914.42 × 1,766.45
  4. Step 4: Simplify right side
    5,277.34x = 13,980,427.21
  5. Step 5: Solve for x
    x = 13,980,427.21/5,277.34
  6. Step 6: Final answer
    x = 2,649.14

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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.