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Finding the Fourth Proportional to 4,184.55, 6,275 and 1,410.70

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Solution

The fourth proportional to 4,184.55, 6,275 and 1,410.70 is: 2,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.55 : 6,275 = 1,410.70 : x
  2. Step 2: Convert to fraction form
    4,184.55/6,275 = 1,410.70/x
  3. Step 3: Cross multiply
    4,184.55x = 6,275 × 1,410.70
  4. Step 4: Simplify right side
    4,184.55x = 8,852,142.50
  5. Step 5: Solve for x
    x = 8,852,142.50/4,184.55
  6. Step 6: Final answer
    x = 2,115.43

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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.