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Finding the Fourth Proportional to 5,686.79, 7,846.61 and 3,328.47

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Solution

The fourth proportional to 5,686.79, 7,846.61 and 3,328.47 is: 4,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.79 : 7,846.61 = 3,328.47 : x
  2. Step 2: Convert to fraction form
    5,686.79/7,846.61 = 3,328.47/x
  3. Step 3: Cross multiply
    5,686.79x = 7,846.61 × 3,328.47
  4. Step 4: Simplify right side
    5,686.79x = 26,117,189.34
  5. Step 5: Solve for x
    x = 26,117,189.34/5,686.79
  6. Step 6: Final answer
    x = 4,592.61

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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.