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Finding the Fourth Proportional to 4,638.43, 6,946.88 and 4,603.86

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Solution

The fourth proportional to 4,638.43, 6,946.88 and 4,603.86 is: 6,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.43 : 6,946.88 = 4,603.86 : x
  2. Step 2: Convert to fraction form
    4,638.43/6,946.88 = 4,603.86/x
  3. Step 3: Cross multiply
    4,638.43x = 6,946.88 × 4,603.86
  4. Step 4: Simplify right side
    4,638.43x = 31,982,421.99
  5. Step 5: Solve for x
    x = 31,982,421.99/4,638.43
  6. Step 6: Final answer
    x = 6,895.10

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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.