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Finding the Fourth Proportional to 3,570.84, 4,929.10 and 3,197.16

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Solution

The fourth proportional to 3,570.84, 4,929.10 and 3,197.16 is: 4,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.84 : 4,929.10 = 3,197.16 : x
  2. Step 2: Convert to fraction form
    3,570.84/4,929.10 = 3,197.16/x
  3. Step 3: Cross multiply
    3,570.84x = 4,929.10 × 3,197.16
  4. Step 4: Simplify right side
    3,570.84x = 15,759,121.36
  5. Step 5: Solve for x
    x = 15,759,121.36/3,570.84
  6. Step 6: Final answer
    x = 4,413.28

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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.