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Finding the Fourth Proportional to 5,253.26, 7,880.04 and 1,357.67

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Solution

The fourth proportional to 5,253.26, 7,880.04 and 1,357.67 is: 2,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.26 : 7,880.04 = 1,357.67 : x
  2. Step 2: Convert to fraction form
    5,253.26/7,880.04 = 1,357.67/x
  3. Step 3: Cross multiply
    5,253.26x = 7,880.04 × 1,357.67
  4. Step 4: Simplify right side
    5,253.26x = 10,698,513.61
  5. Step 5: Solve for x
    x = 10,698,513.61/5,253.26
  6. Step 6: Final answer
    x = 2,036.55

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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.