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Finding the Fourth Proportional to 4,819.95, 7,195.05 and 4,459.23

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Solution

The fourth proportional to 4,819.95, 7,195.05 and 4,459.23 is: 6,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.95 : 7,195.05 = 4,459.23 : x
  2. Step 2: Convert to fraction form
    4,819.95/7,195.05 = 4,459.23/x
  3. Step 3: Cross multiply
    4,819.95x = 7,195.05 × 4,459.23
  4. Step 4: Simplify right side
    4,819.95x = 32,084,382.81
  5. Step 5: Solve for x
    x = 32,084,382.81/4,819.95
  6. Step 6: Final answer
    x = 6,656.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.