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Finding the Fourth Proportional to 5,193.79, 7,790.77 and 4,941.68

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Solution

The fourth proportional to 5,193.79, 7,790.77 and 4,941.68 is: 7,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.79 : 7,790.77 = 4,941.68 : x
  2. Step 2: Convert to fraction form
    5,193.79/7,790.77 = 4,941.68/x
  3. Step 3: Cross multiply
    5,193.79x = 7,790.77 × 4,941.68
  4. Step 4: Simplify right side
    5,193.79x = 38,499,492.29
  5. Step 5: Solve for x
    x = 38,499,492.29/5,193.79
  6. Step 6: Final answer
    x = 7,412.60

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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.