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Finding the Fourth Proportional to 5,347.38, 7,382.25 and 3,582

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Solution

The fourth proportional to 5,347.38, 7,382.25 and 3,582 is: 4,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.38 : 7,382.25 = 3,582 : x
  2. Step 2: Convert to fraction form
    5,347.38/7,382.25 = 3,582/x
  3. Step 3: Cross multiply
    5,347.38x = 7,382.25 × 3,582
  4. Step 4: Simplify right side
    5,347.38x = 26,443,219.50
  5. Step 5: Solve for x
    x = 26,443,219.50/5,347.38
  6. Step 6: Final answer
    x = 4,945.08

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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.