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Finding the Fourth Proportional to 5,359.78, 8,036.70 and 1,848.16

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Solution

The fourth proportional to 5,359.78, 8,036.70 and 1,848.16 is: 2,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.78 : 8,036.70 = 1,848.16 : x
  2. Step 2: Convert to fraction form
    5,359.78/8,036.70 = 1,848.16/x
  3. Step 3: Cross multiply
    5,359.78x = 8,036.70 × 1,848.16
  4. Step 4: Simplify right side
    5,359.78x = 14,853,107.47
  5. Step 5: Solve for x
    x = 14,853,107.47/5,359.78
  6. Step 6: Final answer
    x = 2,771.22

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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.