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Finding the Fourth Proportional to 5,800.98, 8,004 and 3,916.08

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Solution

The fourth proportional to 5,800.98, 8,004 and 3,916.08 is: 5,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.98 : 8,004 = 3,916.08 : x
  2. Step 2: Convert to fraction form
    5,800.98/8,004 = 3,916.08/x
  3. Step 3: Cross multiply
    5,800.98x = 8,004 × 3,916.08
  4. Step 4: Simplify right side
    5,800.98x = 31,344,304.32
  5. Step 5: Solve for x
    x = 31,344,304.32/5,800.98
  6. Step 6: Final answer
    x = 5,403.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.