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Finding the Fourth Proportional to 5,775.84, 7,964.39 and 3,677.28

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Solution

The fourth proportional to 5,775.84, 7,964.39 and 3,677.28 is: 5,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.84 : 7,964.39 = 3,677.28 : x
  2. Step 2: Convert to fraction form
    5,775.84/7,964.39 = 3,677.28/x
  3. Step 3: Cross multiply
    5,775.84x = 7,964.39 × 3,677.28
  4. Step 4: Simplify right side
    5,775.84x = 29,287,292.06
  5. Step 5: Solve for x
    x = 29,287,292.06/5,775.84
  6. Step 6: Final answer
    x = 5,070.66

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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.