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Finding the Fourth Proportional to 3,478.74, 5,219.79 and 1,530.69

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Solution

The fourth proportional to 3,478.74, 5,219.79 and 1,530.69 is: 2,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.74 : 5,219.79 = 1,530.69 : x
  2. Step 2: Convert to fraction form
    3,478.74/5,219.79 = 1,530.69/x
  3. Step 3: Cross multiply
    3,478.74x = 5,219.79 × 1,530.69
  4. Step 4: Simplify right side
    3,478.74x = 7,989,880.36
  5. Step 5: Solve for x
    x = 7,989,880.36/3,478.74
  6. Step 6: Final answer
    x = 2,296.77

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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.