Home / 5,206.34-7,814.13-2,434.52

Finding the Fourth Proportional to 5,206.34, 7,814.13 and 2,434.52

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Solution

The fourth proportional to 5,206.34, 7,814.13 and 2,434.52 is: 3,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.34 : 7,814.13 = 2,434.52 : x
  2. Step 2: Convert to fraction form
    5,206.34/7,814.13 = 2,434.52/x
  3. Step 3: Cross multiply
    5,206.34x = 7,814.13 × 2,434.52
  4. Step 4: Simplify right side
    5,206.34x = 19,023,655.77
  5. Step 5: Solve for x
    x = 19,023,655.77/5,206.34
  6. Step 6: Final answer
    x = 3,653.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.