Home / 5,206.92-7,807.58-2,281.82

Finding the Fourth Proportional to 5,206.92, 7,807.58 and 2,281.82

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Solution

The fourth proportional to 5,206.92, 7,807.58 and 2,281.82 is: 3,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.92 : 7,807.58 = 2,281.82 : x
  2. Step 2: Convert to fraction form
    5,206.92/7,807.58 = 2,281.82/x
  3. Step 3: Cross multiply
    5,206.92x = 7,807.58 × 2,281.82
  4. Step 4: Simplify right side
    5,206.92x = 17,815,492.20
  5. Step 5: Solve for x
    x = 17,815,492.20/5,206.92
  6. Step 6: Final answer
    x = 3,421.50

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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.