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Finding the Fourth Proportional to 3,527.94, 4,868.42 and 1,956.08

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Solution

The fourth proportional to 3,527.94, 4,868.42 and 1,956.08 is: 2,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.94 : 4,868.42 = 1,956.08 : x
  2. Step 2: Convert to fraction form
    3,527.94/4,868.42 = 1,956.08/x
  3. Step 3: Cross multiply
    3,527.94x = 4,868.42 × 1,956.08
  4. Step 4: Simplify right side
    3,527.94x = 9,523,018.99
  5. Step 5: Solve for x
    x = 9,523,018.99/3,527.94
  6. Step 6: Final answer
    x = 2,699.31

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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.