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Finding the Fourth Proportional to 5,206.57, 7,813.30 and 4,860.57

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Solution

The fourth proportional to 5,206.57, 7,813.30 and 4,860.57 is: 7,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.57 : 7,813.30 = 4,860.57 : x
  2. Step 2: Convert to fraction form
    5,206.57/7,813.30 = 4,860.57/x
  3. Step 3: Cross multiply
    5,206.57x = 7,813.30 × 4,860.57
  4. Step 4: Simplify right side
    5,206.57x = 37,977,091.58
  5. Step 5: Solve for x
    x = 37,977,091.58/5,206.57
  6. Step 6: Final answer
    x = 7,294.07

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1.5x scale

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.