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Finding the Fourth Proportional to 5,435.70, 8,153.55 and 5,200.40

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Solution

The fourth proportional to 5,435.70, 8,153.55 and 5,200.40 is: 7,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.70 : 8,153.55 = 5,200.40 : x
  2. Step 2: Convert to fraction form
    5,435.70/8,153.55 = 5,200.40/x
  3. Step 3: Cross multiply
    5,435.70x = 8,153.55 × 5,200.40
  4. Step 4: Simplify right side
    5,435.70x = 42,401,680.65
  5. Step 5: Solve for x
    x = 42,401,680.65/5,435.70
  6. Step 6: Final answer
    x = 7,800.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.