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Finding the Fourth Proportional to 3,829.04, 5,696.94 and 3,816.08

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Solution

The fourth proportional to 3,829.04, 5,696.94 and 3,816.08 is: 5,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.04 : 5,696.94 = 3,816.08 : x
  2. Step 2: Convert to fraction form
    3,829.04/5,696.94 = 3,816.08/x
  3. Step 3: Cross multiply
    3,829.04x = 5,696.94 × 3,816.08
  4. Step 4: Simplify right side
    3,829.04x = 21,739,950.31
  5. Step 5: Solve for x
    x = 21,739,950.31/3,829.04
  6. Step 6: Final answer
    x = 5,677.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.