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Finding the Fourth Proportional to 5,587, 8,369.54 and 3,831.72

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Solution

The fourth proportional to 5,587, 8,369.54 and 3,831.72 is: 5,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587 : 8,369.54 = 3,831.72 : x
  2. Step 2: Convert to fraction form
    5,587/8,369.54 = 3,831.72/x
  3. Step 3: Cross multiply
    5,587x = 8,369.54 × 3,831.72
  4. Step 4: Simplify right side
    5,587x = 32,069,733.81
  5. Step 5: Solve for x
    x = 32,069,733.81/5,587
  6. Step 6: Final answer
    x = 5,740.06

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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.