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Finding the Fourth Proportional to 4,461.60, 6,692.40 and 3,914.40

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Solution

The fourth proportional to 4,461.60, 6,692.40 and 3,914.40 is: 5,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.60 : 6,692.40 = 3,914.40 : x
  2. Step 2: Convert to fraction form
    4,461.60/6,692.40 = 3,914.40/x
  3. Step 3: Cross multiply
    4,461.60x = 6,692.40 × 3,914.40
  4. Step 4: Simplify right side
    4,461.60x = 26,196,730.56
  5. Step 5: Solve for x
    x = 26,196,730.56/4,461.60
  6. Step 6: Final answer
    x = 5,871.60

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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.