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Finding the Fourth Proportional to 5,586.84, 7,707.96 and 4,332.96

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Solution

The fourth proportional to 5,586.84, 7,707.96 and 4,332.96 is: 5,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.84 : 7,707.96 = 4,332.96 : x
  2. Step 2: Convert to fraction form
    5,586.84/7,707.96 = 4,332.96/x
  3. Step 3: Cross multiply
    5,586.84x = 7,707.96 × 4,332.96
  4. Step 4: Simplify right side
    5,586.84x = 33,398,282.36
  5. Step 5: Solve for x
    x = 33,398,282.36/5,586.84
  6. Step 6: Final answer
    x = 5,978.03

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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.