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Finding the Fourth Proportional to 5,898.21, 8,840.02 and 2,977.35

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Solution

The fourth proportional to 5,898.21, 8,840.02 and 2,977.35 is: 4,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.21 : 8,840.02 = 2,977.35 : x
  2. Step 2: Convert to fraction form
    5,898.21/8,840.02 = 2,977.35/x
  3. Step 3: Cross multiply
    5,898.21x = 8,840.02 × 2,977.35
  4. Step 4: Simplify right side
    5,898.21x = 26,319,833.55
  5. Step 5: Solve for x
    x = 26,319,833.55/5,898.21
  6. Step 6: Final answer
    x = 4,462.34

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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.