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Finding the Fourth Proportional to 5,862.60, 8,099.64 and 5,396.04

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Solution

The fourth proportional to 5,862.60, 8,099.64 and 5,396.04 is: 7,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.60 : 8,099.64 = 5,396.04 : x
  2. Step 2: Convert to fraction form
    5,862.60/8,099.64 = 5,396.04/x
  3. Step 3: Cross multiply
    5,862.60x = 8,099.64 × 5,396.04
  4. Step 4: Simplify right side
    5,862.60x = 43,705,981.43
  5. Step 5: Solve for x
    x = 43,705,981.43/5,862.60
  6. Step 6: Final answer
    x = 7,455.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.