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Finding the Fourth Proportional to 4,683.76, 7,025.62 and 1,221

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Solution

The fourth proportional to 4,683.76, 7,025.62 and 1,221 is: 1,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.76 : 7,025.62 = 1,221 : x
  2. Step 2: Convert to fraction form
    4,683.76/7,025.62 = 1,221/x
  3. Step 3: Cross multiply
    4,683.76x = 7,025.62 × 1,221
  4. Step 4: Simplify right side
    4,683.76x = 8,578,282.02
  5. Step 5: Solve for x
    x = 8,578,282.02/4,683.76
  6. Step 6: Final answer
    x = 1,831.49

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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.