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Finding the Fourth Proportional to 5,801.73, 8,702.94 and 1,642.05

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Solution

The fourth proportional to 5,801.73, 8,702.94 and 1,642.05 is: 2,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.73 : 8,702.94 = 1,642.05 : x
  2. Step 2: Convert to fraction form
    5,801.73/8,702.94 = 1,642.05/x
  3. Step 3: Cross multiply
    5,801.73x = 8,702.94 × 1,642.05
  4. Step 4: Simplify right side
    5,801.73x = 14,290,662.63
  5. Step 5: Solve for x
    x = 14,290,662.63/5,801.73
  6. Step 6: Final answer
    x = 2,463.17

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1.5x scale

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.