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Finding the Fourth Proportional to 4,123.30, 6,184.95 and 4,080.10

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Solution

The fourth proportional to 4,123.30, 6,184.95 and 4,080.10 is: 6,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.30 : 6,184.95 = 4,080.10 : x
  2. Step 2: Convert to fraction form
    4,123.30/6,184.95 = 4,080.10/x
  3. Step 3: Cross multiply
    4,123.30x = 6,184.95 × 4,080.10
  4. Step 4: Simplify right side
    4,123.30x = 25,235,214.50
  5. Step 5: Solve for x
    x = 25,235,214.50/4,123.30
  6. Step 6: Final answer
    x = 6,120.15

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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.