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Finding the Fourth Proportional to 3,415.40, 5,123.10 and 3,271.40

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Solution

The fourth proportional to 3,415.40, 5,123.10 and 3,271.40 is: 4,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.40 : 5,123.10 = 3,271.40 : x
  2. Step 2: Convert to fraction form
    3,415.40/5,123.10 = 3,271.40/x
  3. Step 3: Cross multiply
    3,415.40x = 5,123.10 × 3,271.40
  4. Step 4: Simplify right side
    3,415.40x = 16,759,709.34
  5. Step 5: Solve for x
    x = 16,759,709.34/3,415.40
  6. Step 6: Final answer
    x = 4,907.10

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1.5x scale

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.