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Finding the Fourth Proportional to 5,207.79, 7,800.76 and 3,742.50

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Solution

The fourth proportional to 5,207.79, 7,800.76 and 3,742.50 is: 5,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.79 : 7,800.76 = 3,742.50 : x
  2. Step 2: Convert to fraction form
    5,207.79/7,800.76 = 3,742.50/x
  3. Step 3: Cross multiply
    5,207.79x = 7,800.76 × 3,742.50
  4. Step 4: Simplify right side
    5,207.79x = 29,194,357.18
  5. Step 5: Solve for x
    x = 29,194,357.18/5,207.79
  6. Step 6: Final answer
    x = 5,605.90

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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.