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Finding the Fourth Proportional to 3,324, 4,587.21 and 1,831.94

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Solution

The fourth proportional to 3,324, 4,587.21 and 1,831.94 is: 2,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324 : 4,587.21 = 1,831.94 : x
  2. Step 2: Convert to fraction form
    3,324/4,587.21 = 1,831.94/x
  3. Step 3: Cross multiply
    3,324x = 4,587.21 × 1,831.94
  4. Step 4: Simplify right side
    3,324x = 8,403,461.39
  5. Step 5: Solve for x
    x = 8,403,461.39/3,324
  6. Step 6: Final answer
    x = 2,528.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.