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Finding the Fourth Proportional to 4,646.57, 6,969.61 and 3,398.45

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Solution

The fourth proportional to 4,646.57, 6,969.61 and 3,398.45 is: 5,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.57 : 6,969.61 = 3,398.45 : x
  2. Step 2: Convert to fraction form
    4,646.57/6,969.61 = 3,398.45/x
  3. Step 3: Cross multiply
    4,646.57x = 6,969.61 × 3,398.45
  4. Step 4: Simplify right side
    4,646.57x = 23,685,871.10
  5. Step 5: Solve for x
    x = 23,685,871.10/4,646.57
  6. Step 6: Final answer
    x = 5,097.50

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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.