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Finding the Fourth Proportional to 5,759.84, 8,570.62 and 5,740.40

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Solution

The fourth proportional to 5,759.84, 8,570.62 and 5,740.40 is: 8,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.84 : 8,570.62 = 5,740.40 : x
  2. Step 2: Convert to fraction form
    5,759.84/8,570.62 = 5,740.40/x
  3. Step 3: Cross multiply
    5,759.84x = 8,570.62 × 5,740.40
  4. Step 4: Simplify right side
    5,759.84x = 49,198,787.05
  5. Step 5: Solve for x
    x = 49,198,787.05/5,759.84
  6. Step 6: Final answer
    x = 8,541.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.