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Finding the Fourth Proportional to 3,527.78, 4,868.46 and 1,955.84

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Solution

The fourth proportional to 3,527.78, 4,868.46 and 1,955.84 is: 2,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.78 : 4,868.46 = 1,955.84 : x
  2. Step 2: Convert to fraction form
    3,527.78/4,868.46 = 1,955.84/x
  3. Step 3: Cross multiply
    3,527.78x = 4,868.46 × 1,955.84
  4. Step 4: Simplify right side
    3,527.78x = 9,521,928.81
  5. Step 5: Solve for x
    x = 9,521,928.81/3,527.78
  6. Step 6: Final answer
    x = 2,699.13

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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.