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Finding the Fourth Proportional to 5,671.80, 7,834.14 and 4,361.40

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Solution

The fourth proportional to 5,671.80, 7,834.14 and 4,361.40 is: 6,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.80 : 7,834.14 = 4,361.40 : x
  2. Step 2: Convert to fraction form
    5,671.80/7,834.14 = 4,361.40/x
  3. Step 3: Cross multiply
    5,671.80x = 7,834.14 × 4,361.40
  4. Step 4: Simplify right side
    5,671.80x = 34,167,818.20
  5. Step 5: Solve for x
    x = 34,167,818.20/5,671.80
  6. Step 6: Final answer
    x = 6,024.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.