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Finding the Fourth Proportional to 4,055.70, 5,597.71 and 2,378

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Solution

The fourth proportional to 4,055.70, 5,597.71 and 2,378 is: 3,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.70 : 5,597.71 = 2,378 : x
  2. Step 2: Convert to fraction form
    4,055.70/5,597.71 = 2,378/x
  3. Step 3: Cross multiply
    4,055.70x = 5,597.71 × 2,378
  4. Step 4: Simplify right side
    4,055.70x = 13,311,354.38
  5. Step 5: Solve for x
    x = 13,311,354.38/4,055.70
  6. Step 6: Final answer
    x = 3,282.13

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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.