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Finding the Fourth Proportional to 5,047.65, 6,969.18 and 3,159.99

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Solution

The fourth proportional to 5,047.65, 6,969.18 and 3,159.99 is: 4,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.65 : 6,969.18 = 3,159.99 : x
  2. Step 2: Convert to fraction form
    5,047.65/6,969.18 = 3,159.99/x
  3. Step 3: Cross multiply
    5,047.65x = 6,969.18 × 3,159.99
  4. Step 4: Simplify right side
    5,047.65x = 22,022,539.11
  5. Step 5: Solve for x
    x = 22,022,539.11/5,047.65
  6. Step 6: Final answer
    x = 4,362.93

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Why These Related Problems?

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