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Finding the Fourth Proportional to 4,615.06, 6,916.10 and 2,012.54

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Solution

The fourth proportional to 4,615.06, 6,916.10 and 2,012.54 is: 3,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.06 : 6,916.10 = 2,012.54 : x
  2. Step 2: Convert to fraction form
    4,615.06/6,916.10 = 2,012.54/x
  3. Step 3: Cross multiply
    4,615.06x = 6,916.10 × 2,012.54
  4. Step 4: Simplify right side
    4,615.06x = 13,918,927.89
  5. Step 5: Solve for x
    x = 13,918,927.89/4,615.06
  6. Step 6: Final answer
    x = 3,015.98

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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.