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Finding the Fourth Proportional to 5,411.40, 8,111.10 and 2,123.40

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Solution

The fourth proportional to 5,411.40, 8,111.10 and 2,123.40 is: 3,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.40 : 8,111.10 = 2,123.40 : x
  2. Step 2: Convert to fraction form
    5,411.40/8,111.10 = 2,123.40/x
  3. Step 3: Cross multiply
    5,411.40x = 8,111.10 × 2,123.40
  4. Step 4: Simplify right side
    5,411.40x = 17,223,109.74
  5. Step 5: Solve for x
    x = 17,223,109.74/5,411.40
  6. Step 6: Final answer
    x = 3,182.75

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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.