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Finding the Fourth Proportional to 4,914.54, 7,343.10 and 4,742.32

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Solution

The fourth proportional to 4,914.54, 7,343.10 and 4,742.32 is: 7,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.54 : 7,343.10 = 4,742.32 : x
  2. Step 2: Convert to fraction form
    4,914.54/7,343.10 = 4,742.32/x
  3. Step 3: Cross multiply
    4,914.54x = 7,343.10 × 4,742.32
  4. Step 4: Simplify right side
    4,914.54x = 34,823,329.99
  5. Step 5: Solve for x
    x = 34,823,329.99/4,914.54
  6. Step 6: Final answer
    x = 7,085.78

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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.