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Finding the Fourth Proportional to 5,823.64, 8,718.72 and 5,413.58

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Solution

The fourth proportional to 5,823.64, 8,718.72 and 5,413.58 is: 8,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.64 : 8,718.72 = 5,413.58 : x
  2. Step 2: Convert to fraction form
    5,823.64/8,718.72 = 5,413.58/x
  3. Step 3: Cross multiply
    5,823.64x = 8,718.72 × 5,413.58
  4. Step 4: Simplify right side
    5,823.64x = 47,199,488.22
  5. Step 5: Solve for x
    x = 47,199,488.22/5,823.64
  6. Step 6: Final answer
    x = 8,104.81

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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.