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Finding the Fourth Proportional to 4,603.62, 6,905.52 and 1,830.18

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Solution

The fourth proportional to 4,603.62, 6,905.52 and 1,830.18 is: 2,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.62 : 6,905.52 = 1,830.18 : x
  2. Step 2: Convert to fraction form
    4,603.62/6,905.52 = 1,830.18/x
  3. Step 3: Cross multiply
    4,603.62x = 6,905.52 × 1,830.18
  4. Step 4: Simplify right side
    4,603.62x = 12,638,344.59
  5. Step 5: Solve for x
    x = 12,638,344.59/4,603.62
  6. Step 6: Final answer
    x = 2,745.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.