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Finding the Fourth Proportional to 5,586.96, 7,707.80 and 3,598.67

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Solution

The fourth proportional to 5,586.96, 7,707.80 and 3,598.67 is: 4,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.96 : 7,707.80 = 3,598.67 : x
  2. Step 2: Convert to fraction form
    5,586.96/7,707.80 = 3,598.67/x
  3. Step 3: Cross multiply
    5,586.96x = 7,707.80 × 3,598.67
  4. Step 4: Simplify right side
    5,586.96x = 27,737,772.09
  5. Step 5: Solve for x
    x = 27,737,772.09/5,586.96
  6. Step 6: Final answer
    x = 4,964.74

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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.