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Finding the Fourth Proportional to 5,384, 7,430.24 and 3,588.36

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Solution

The fourth proportional to 5,384, 7,430.24 and 3,588.36 is: 4,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384 : 7,430.24 = 3,588.36 : x
  2. Step 2: Convert to fraction form
    5,384/7,430.24 = 3,588.36/x
  3. Step 3: Cross multiply
    5,384x = 7,430.24 × 3,588.36
  4. Step 4: Simplify right side
    5,384x = 26,662,376.01
  5. Step 5: Solve for x
    x = 26,662,376.01/5,384
  6. Step 6: Final answer
    x = 4,952.15

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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.