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Finding the Fourth Proportional to 4,398.46, 6,070.02 and 2,409.10

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Solution

The fourth proportional to 4,398.46, 6,070.02 and 2,409.10 is: 3,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398.46 : 6,070.02 = 2,409.10 : x
  2. Step 2: Convert to fraction form
    4,398.46/6,070.02 = 2,409.10/x
  3. Step 3: Cross multiply
    4,398.46x = 6,070.02 × 2,409.10
  4. Step 4: Simplify right side
    4,398.46x = 14,623,285.18
  5. Step 5: Solve for x
    x = 14,623,285.18/4,398.46
  6. Step 6: Final answer
    x = 3,324.64

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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.