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Finding the Fourth Proportional to 5,603.49, 7,733 and 3,085.86

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Solution

The fourth proportional to 5,603.49, 7,733 and 3,085.86 is: 4,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.49 : 7,733 = 3,085.86 : x
  2. Step 2: Convert to fraction form
    5,603.49/7,733 = 3,085.86/x
  3. Step 3: Cross multiply
    5,603.49x = 7,733 × 3,085.86
  4. Step 4: Simplify right side
    5,603.49x = 23,862,955.38
  5. Step 5: Solve for x
    x = 23,862,955.38/5,603.49
  6. Step 6: Final answer
    x = 4,258.59

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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.