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Finding the Fourth Proportional to 5,227.68, 7,836.66 and 1,762.50

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Solution

The fourth proportional to 5,227.68, 7,836.66 and 1,762.50 is: 2,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.68 : 7,836.66 = 1,762.50 : x
  2. Step 2: Convert to fraction form
    5,227.68/7,836.66 = 1,762.50/x
  3. Step 3: Cross multiply
    5,227.68x = 7,836.66 × 1,762.50
  4. Step 4: Simplify right side
    5,227.68x = 13,812,113.25
  5. Step 5: Solve for x
    x = 13,812,113.25/5,227.68
  6. Step 6: Final answer
    x = 2,642.11

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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.