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Finding the Fourth Proportional to 5,695.92, 7,860.85 and 4,184.06

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Solution

The fourth proportional to 5,695.92, 7,860.85 and 4,184.06 is: 5,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.92 : 7,860.85 = 4,184.06 : x
  2. Step 2: Convert to fraction form
    5,695.92/7,860.85 = 4,184.06/x
  3. Step 3: Cross multiply
    5,695.92x = 7,860.85 × 4,184.06
  4. Step 4: Simplify right side
    5,695.92x = 32,890,218.29
  5. Step 5: Solve for x
    x = 32,890,218.29/5,695.92
  6. Step 6: Final answer
    x = 5,774.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.