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Finding the Fourth Proportional to 5,585.34, 7,707.98 and 3,346.76

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Solution

The fourth proportional to 5,585.34, 7,707.98 and 3,346.76 is: 4,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.34 : 7,707.98 = 3,346.76 : x
  2. Step 2: Convert to fraction form
    5,585.34/7,707.98 = 3,346.76/x
  3. Step 3: Cross multiply
    5,585.34x = 7,707.98 × 3,346.76
  4. Step 4: Simplify right side
    5,585.34x = 25,796,759.14
  5. Step 5: Solve for x
    x = 25,796,759.14/5,585.34
  6. Step 6: Final answer
    x = 4,618.66

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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.