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Finding the Fourth Proportional to 5,058.64, 6,983.04 and 3,567.70

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Solution

The fourth proportional to 5,058.64, 6,983.04 and 3,567.70 is: 4,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.64 : 6,983.04 = 3,567.70 : x
  2. Step 2: Convert to fraction form
    5,058.64/6,983.04 = 3,567.70/x
  3. Step 3: Cross multiply
    5,058.64x = 6,983.04 × 3,567.70
  4. Step 4: Simplify right side
    5,058.64x = 24,913,391.81
  5. Step 5: Solve for x
    x = 24,913,391.81/5,058.64
  6. Step 6: Final answer
    x = 4,924.92

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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.