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Finding the Fourth Proportional to 5,913.69, 8,851.40 and 4,353.36

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Solution

The fourth proportional to 5,913.69, 8,851.40 and 4,353.36 is: 6,515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.69 : 8,851.40 = 4,353.36 : x
  2. Step 2: Convert to fraction form
    5,913.69/8,851.40 = 4,353.36/x
  3. Step 3: Cross multiply
    5,913.69x = 8,851.40 × 4,353.36
  4. Step 4: Simplify right side
    5,913.69x = 38,533,308.94
  5. Step 5: Solve for x
    x = 38,533,308.94/5,913.69
  6. Step 6: Final answer
    x = 6,515.95

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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.