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Finding the Fourth Proportional to 4,158.60, 5,735.04 and 3,098.99

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Solution

The fourth proportional to 4,158.60, 5,735.04 and 3,098.99 is: 4,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.60 : 5,735.04 = 3,098.99 : x
  2. Step 2: Convert to fraction form
    4,158.60/5,735.04 = 3,098.99/x
  3. Step 3: Cross multiply
    4,158.60x = 5,735.04 × 3,098.99
  4. Step 4: Simplify right side
    4,158.60x = 17,772,802.93
  5. Step 5: Solve for x
    x = 17,772,802.93/4,158.60
  6. Step 6: Final answer
    x = 4,273.75

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