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Finding the Fourth Proportional to 5,862.83, 8,792.16 and 2,164.06

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Solution

The fourth proportional to 5,862.83, 8,792.16 and 2,164.06 is: 3,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.83 : 8,792.16 = 2,164.06 : x
  2. Step 2: Convert to fraction form
    5,862.83/8,792.16 = 2,164.06/x
  3. Step 3: Cross multiply
    5,862.83x = 8,792.16 × 2,164.06
  4. Step 4: Simplify right side
    5,862.83x = 19,026,750.95
  5. Step 5: Solve for x
    x = 19,026,750.95/5,862.83
  6. Step 6: Final answer
    x = 3,245.32

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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.