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Finding the Fourth Proportional to 5,193.19, 7,777.59 and 4,505.50

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Solution

The fourth proportional to 5,193.19, 7,777.59 and 4,505.50 is: 6,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.19 : 7,777.59 = 4,505.50 : x
  2. Step 2: Convert to fraction form
    5,193.19/7,777.59 = 4,505.50/x
  3. Step 3: Cross multiply
    5,193.19x = 7,777.59 × 4,505.50
  4. Step 4: Simplify right side
    5,193.19x = 35,041,931.75
  5. Step 5: Solve for x
    x = 35,041,931.75/5,193.19
  6. Step 6: Final answer
    x = 6,747.67

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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.