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Finding the Fourth Proportional to 5,288.32, 7,244.07 and 5,230

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Solution

The fourth proportional to 5,288.32, 7,244.07 and 5,230 is: 7,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.32 : 7,244.07 = 5,230 : x
  2. Step 2: Convert to fraction form
    5,288.32/7,244.07 = 5,230/x
  3. Step 3: Cross multiply
    5,288.32x = 7,244.07 × 5,230
  4. Step 4: Simplify right side
    5,288.32x = 37,886,486.10
  5. Step 5: Solve for x
    x = 37,886,486.10/5,288.32
  6. Step 6: Final answer
    x = 7,164.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.