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Finding the Fourth Proportional to 5,561.71, 8,352.10 and 4,938.41

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Solution

The fourth proportional to 5,561.71, 8,352.10 and 4,938.41 is: 7,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.71 : 8,352.10 = 4,938.41 : x
  2. Step 2: Convert to fraction form
    5,561.71/8,352.10 = 4,938.41/x
  3. Step 3: Cross multiply
    5,561.71x = 8,352.10 × 4,938.41
  4. Step 4: Simplify right side
    5,561.71x = 41,246,094.16
  5. Step 5: Solve for x
    x = 41,246,094.16/5,561.71
  6. Step 6: Final answer
    x = 7,416.08

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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.