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Finding the Fourth Proportional to 3,460.50, 4,772.16 and 2,328.72

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Solution

The fourth proportional to 3,460.50, 4,772.16 and 2,328.72 is: 3,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.50 : 4,772.16 = 2,328.72 : x
  2. Step 2: Convert to fraction form
    3,460.50/4,772.16 = 2,328.72/x
  3. Step 3: Cross multiply
    3,460.50x = 4,772.16 × 2,328.72
  4. Step 4: Simplify right side
    3,460.50x = 11,113,024.44
  5. Step 5: Solve for x
    x = 11,113,024.44/3,460.50
  6. Step 6: Final answer
    x = 3,211.39

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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.