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Finding the Fourth Proportional to 4,919.54, 7,386.19 and 3,065.24

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Solution

The fourth proportional to 4,919.54, 7,386.19 and 3,065.24 is: 4,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.54 : 7,386.19 = 3,065.24 : x
  2. Step 2: Convert to fraction form
    4,919.54/7,386.19 = 3,065.24/x
  3. Step 3: Cross multiply
    4,919.54x = 7,386.19 × 3,065.24
  4. Step 4: Simplify right side
    4,919.54x = 22,640,455.84
  5. Step 5: Solve for x
    x = 22,640,455.84/4,919.54
  6. Step 6: Final answer
    x = 4,602.15

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Why These Related Problems?

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