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Finding the Fourth Proportional to 5,176.70, 7,765.04 and 1,713.95

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Solution

The fourth proportional to 5,176.70, 7,765.04 and 1,713.95 is: 2,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.70 : 7,765.04 = 1,713.95 : x
  2. Step 2: Convert to fraction form
    5,176.70/7,765.04 = 1,713.95/x
  3. Step 3: Cross multiply
    5,176.70x = 7,765.04 × 1,713.95
  4. Step 4: Simplify right side
    5,176.70x = 13,308,890.31
  5. Step 5: Solve for x
    x = 13,308,890.31/5,176.70
  6. Step 6: Final answer
    x = 2,570.92

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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.