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Finding the Fourth Proportional to 5,774.05, 7,968.04 and 3,416.95

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Solution

The fourth proportional to 5,774.05, 7,968.04 and 3,416.95 is: 4,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.05 : 7,968.04 = 3,416.95 : x
  2. Step 2: Convert to fraction form
    5,774.05/7,968.04 = 3,416.95/x
  3. Step 3: Cross multiply
    5,774.05x = 7,968.04 × 3,416.95
  4. Step 4: Simplify right side
    5,774.05x = 27,226,394.28
  5. Step 5: Solve for x
    x = 27,226,394.28/5,774.05
  6. Step 6: Final answer
    x = 4,715.30

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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.