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Finding the Fourth Proportional to 5,246.94, 7,867.98 and 1,957.67

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Solution

The fourth proportional to 5,246.94, 7,867.98 and 1,957.67 is: 2,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.94 : 7,867.98 = 1,957.67 : x
  2. Step 2: Convert to fraction form
    5,246.94/7,867.98 = 1,957.67/x
  3. Step 3: Cross multiply
    5,246.94x = 7,867.98 × 1,957.67
  4. Step 4: Simplify right side
    5,246.94x = 15,402,869.07
  5. Step 5: Solve for x
    x = 15,402,869.07/5,246.94
  6. Step 6: Final answer
    x = 2,935.59

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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.