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Finding the Fourth Proportional to 5,176.64, 7,764 and 1,713.44

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Solution

The fourth proportional to 5,176.64, 7,764 and 1,713.44 is: 2,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.64 : 7,764 = 1,713.44 : x
  2. Step 2: Convert to fraction form
    5,176.64/7,764 = 1,713.44/x
  3. Step 3: Cross multiply
    5,176.64x = 7,764 × 1,713.44
  4. Step 4: Simplify right side
    5,176.64x = 13,303,148.16
  5. Step 5: Solve for x
    x = 13,303,148.16/5,176.64
  6. Step 6: Final answer
    x = 2,569.84

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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.