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Finding the Fourth Proportional to 3,510.74, 4,830.54 and 3,219.14

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Solution

The fourth proportional to 3,510.74, 4,830.54 and 3,219.14 is: 4,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.74 : 4,830.54 = 3,219.14 : x
  2. Step 2: Convert to fraction form
    3,510.74/4,830.54 = 3,219.14/x
  3. Step 3: Cross multiply
    3,510.74x = 4,830.54 × 3,219.14
  4. Step 4: Simplify right side
    3,510.74x = 15,550,184.54
  5. Step 5: Solve for x
    x = 15,550,184.54/3,510.74
  6. Step 6: Final answer
    x = 4,429.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.