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Finding the Fourth Proportional to 5,602.35, 7,719.06 and 4,185.48

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Solution

The fourth proportional to 5,602.35, 7,719.06 and 4,185.48 is: 5,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.35 : 7,719.06 = 4,185.48 : x
  2. Step 2: Convert to fraction form
    5,602.35/7,719.06 = 4,185.48/x
  3. Step 3: Cross multiply
    5,602.35x = 7,719.06 × 4,185.48
  4. Step 4: Simplify right side
    5,602.35x = 32,307,971.25
  5. Step 5: Solve for x
    x = 32,307,971.25/5,602.35
  6. Step 6: Final answer
    x = 5,766.86

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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.