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Finding the Fourth Proportional to 4,615.42, 6,916.65 and 3,461.98

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Solution

The fourth proportional to 4,615.42, 6,916.65 and 3,461.98 is: 5,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.42 : 6,916.65 = 3,461.98 : x
  2. Step 2: Convert to fraction form
    4,615.42/6,916.65 = 3,461.98/x
  3. Step 3: Cross multiply
    4,615.42x = 6,916.65 × 3,461.98
  4. Step 4: Simplify right side
    4,615.42x = 23,945,303.97
  5. Step 5: Solve for x
    x = 23,945,303.97/4,615.42
  6. Step 6: Final answer
    x = 5,188.11

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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.