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Finding the Fourth Proportional to 5,869.41, 8,758.61 and 5,246.25

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Solution

The fourth proportional to 5,869.41, 8,758.61 and 5,246.25 is: 7,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.41 : 8,758.61 = 5,246.25 : x
  2. Step 2: Convert to fraction form
    5,869.41/8,758.61 = 5,246.25/x
  3. Step 3: Cross multiply
    5,869.41x = 8,758.61 × 5,246.25
  4. Step 4: Simplify right side
    5,869.41x = 45,949,857.71
  5. Step 5: Solve for x
    x = 45,949,857.71/5,869.41
  6. Step 6: Final answer
    x = 7,828.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.