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Finding the Fourth Proportional to 3,497.16, 4,822.16 and 2,698.68

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Solution

The fourth proportional to 3,497.16, 4,822.16 and 2,698.68 is: 3,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.16 : 4,822.16 = 2,698.68 : x
  2. Step 2: Convert to fraction form
    3,497.16/4,822.16 = 2,698.68/x
  3. Step 3: Cross multiply
    3,497.16x = 4,822.16 × 2,698.68
  4. Step 4: Simplify right side
    3,497.16x = 13,013,466.75
  5. Step 5: Solve for x
    x = 13,013,466.75/3,497.16
  6. Step 6: Final answer
    x = 3,721.15

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1.5x scale

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.