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Finding the Fourth Proportional to 5,674.16, 8,509.80 and 2,552.40

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Solution

The fourth proportional to 5,674.16, 8,509.80 and 2,552.40 is: 3,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.16 : 8,509.80 = 2,552.40 : x
  2. Step 2: Convert to fraction form
    5,674.16/8,509.80 = 2,552.40/x
  3. Step 3: Cross multiply
    5,674.16x = 8,509.80 × 2,552.40
  4. Step 4: Simplify right side
    5,674.16x = 21,720,413.52
  5. Step 5: Solve for x
    x = 21,720,413.52/5,674.16
  6. Step 6: Final answer
    x = 3,827.95

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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.