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Finding the Fourth Proportional to 4,315.81, 5,955.92 and 2,546.77

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Solution

The fourth proportional to 4,315.81, 5,955.92 and 2,546.77 is: 3,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.81 : 5,955.92 = 2,546.77 : x
  2. Step 2: Convert to fraction form
    4,315.81/5,955.92 = 2,546.77/x
  3. Step 3: Cross multiply
    4,315.81x = 5,955.92 × 2,546.77
  4. Step 4: Simplify right side
    4,315.81x = 15,168,358.38
  5. Step 5: Solve for x
    x = 15,168,358.38/4,315.81
  6. Step 6: Final answer
    x = 3,514.60

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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.