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Finding the Fourth Proportional to 5,898.08, 8,844.48 and 2,978.08

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Solution

The fourth proportional to 5,898.08, 8,844.48 and 2,978.08 is: 4,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.08 : 8,844.48 = 2,978.08 : x
  2. Step 2: Convert to fraction form
    5,898.08/8,844.48 = 2,978.08/x
  3. Step 3: Cross multiply
    5,898.08x = 8,844.48 × 2,978.08
  4. Step 4: Simplify right side
    5,898.08x = 26,339,569.00
  5. Step 5: Solve for x
    x = 26,339,569.00/5,898.08
  6. Step 6: Final answer
    x = 4,465.79

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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.