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Finding the Fourth Proportional to 4,802.58, 7,196.58 and 3,564.19

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Solution

The fourth proportional to 4,802.58, 7,196.58 and 3,564.19 is: 5,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.58 : 7,196.58 = 3,564.19 : x
  2. Step 2: Convert to fraction form
    4,802.58/7,196.58 = 3,564.19/x
  3. Step 3: Cross multiply
    4,802.58x = 7,196.58 × 3,564.19
  4. Step 4: Simplify right side
    4,802.58x = 25,649,987.47
  5. Step 5: Solve for x
    x = 25,649,987.47/4,802.58
  6. Step 6: Final answer
    x = 5,340.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.