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Finding the Fourth Proportional to 5,848.26, 8,773.68 and 1,687.95

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Solution

The fourth proportional to 5,848.26, 8,773.68 and 1,687.95 is: 2,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.26 : 8,773.68 = 1,687.95 : x
  2. Step 2: Convert to fraction form
    5,848.26/8,773.68 = 1,687.95/x
  3. Step 3: Cross multiply
    5,848.26x = 8,773.68 × 1,687.95
  4. Step 4: Simplify right side
    5,848.26x = 14,809,533.16
  5. Step 5: Solve for x
    x = 14,809,533.16/5,848.26
  6. Step 6: Final answer
    x = 2,532.30

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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.