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Finding the Fourth Proportional to 5,862.15, 8,794.64 and 1,702.06

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Solution

The fourth proportional to 5,862.15, 8,794.64 and 1,702.06 is: 2,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.15 : 8,794.64 = 1,702.06 : x
  2. Step 2: Convert to fraction form
    5,862.15/8,794.64 = 1,702.06/x
  3. Step 3: Cross multiply
    5,862.15x = 8,794.64 × 1,702.06
  4. Step 4: Simplify right side
    5,862.15x = 14,968,987.23
  5. Step 5: Solve for x
    x = 14,968,987.23/5,862.15
  6. Step 6: Final answer
    x = 2,553.50

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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.