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Finding the Fourth Proportional to 5,395.71, 7,446 and 3,038.25

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Solution

The fourth proportional to 5,395.71, 7,446 and 3,038.25 is: 4,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.71 : 7,446 = 3,038.25 : x
  2. Step 2: Convert to fraction form
    5,395.71/7,446 = 3,038.25/x
  3. Step 3: Cross multiply
    5,395.71x = 7,446 × 3,038.25
  4. Step 4: Simplify right side
    5,395.71x = 22,622,809.50
  5. Step 5: Solve for x
    x = 22,622,809.50/5,395.71
  6. Step 6: Final answer
    x = 4,192.74

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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.