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Finding the Fourth Proportional to 4,503.72, 6,752.70 and 1,905

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Solution

The fourth proportional to 4,503.72, 6,752.70 and 1,905 is: 2,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.72 : 6,752.70 = 1,905 : x
  2. Step 2: Convert to fraction form
    4,503.72/6,752.70 = 1,905/x
  3. Step 3: Cross multiply
    4,503.72x = 6,752.70 × 1,905
  4. Step 4: Simplify right side
    4,503.72x = 12,863,893.50
  5. Step 5: Solve for x
    x = 12,863,893.50/4,503.72
  6. Step 6: Final answer
    x = 2,856.28

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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.