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Finding the Fourth Proportional to 5,365.49, 8,048.16 and 1,858.05

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Solution

The fourth proportional to 5,365.49, 8,048.16 and 1,858.05 is: 2,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.49 : 8,048.16 = 1,858.05 : x
  2. Step 2: Convert to fraction form
    5,365.49/8,048.16 = 1,858.05/x
  3. Step 3: Cross multiply
    5,365.49x = 8,048.16 × 1,858.05
  4. Step 4: Simplify right side
    5,365.49x = 14,953,883.69
  5. Step 5: Solve for x
    x = 14,953,883.69/5,365.49
  6. Step 6: Final answer
    x = 2,787.05

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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.