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Finding the Fourth Proportional to 5,829.76, 8,737.08 and 2,365.12

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Solution

The fourth proportional to 5,829.76, 8,737.08 and 2,365.12 is: 3,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.76 : 8,737.08 = 2,365.12 : x
  2. Step 2: Convert to fraction form
    5,829.76/8,737.08 = 2,365.12/x
  3. Step 3: Cross multiply
    5,829.76x = 8,737.08 × 2,365.12
  4. Step 4: Simplify right side
    5,829.76x = 20,664,242.65
  5. Step 5: Solve for x
    x = 20,664,242.65/5,829.76
  6. Step 6: Final answer
    x = 3,544.61

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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.