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Finding the Fourth Proportional to 5,116.50, 7,674.75 and 1,653.75

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Solution

The fourth proportional to 5,116.50, 7,674.75 and 1,653.75 is: 2,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.50 : 7,674.75 = 1,653.75 : x
  2. Step 2: Convert to fraction form
    5,116.50/7,674.75 = 1,653.75/x
  3. Step 3: Cross multiply
    5,116.50x = 7,674.75 × 1,653.75
  4. Step 4: Simplify right side
    5,116.50x = 12,692,117.81
  5. Step 5: Solve for x
    x = 12,692,117.81/5,116.50
  6. Step 6: Final answer
    x = 2,480.63

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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.