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Finding the Fourth Proportional to 5,362.05, 8,041.05 and 1,851.06

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Solution

The fourth proportional to 5,362.05, 8,041.05 and 1,851.06 is: 2,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.05 : 8,041.05 = 1,851.06 : x
  2. Step 2: Convert to fraction form
    5,362.05/8,041.05 = 1,851.06/x
  3. Step 3: Cross multiply
    5,362.05x = 8,041.05 × 1,851.06
  4. Step 4: Simplify right side
    5,362.05x = 14,884,466.01
  5. Step 5: Solve for x
    x = 14,884,466.01/5,362.05
  6. Step 6: Final answer
    x = 2,775.89

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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.