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Finding the Fourth Proportional to 4,386.64, 6,039.24 and 3,834.32

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Solution

The fourth proportional to 4,386.64, 6,039.24 and 3,834.32 is: 5,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386.64 : 6,039.24 = 3,834.32 : x
  2. Step 2: Convert to fraction form
    4,386.64/6,039.24 = 3,834.32/x
  3. Step 3: Cross multiply
    4,386.64x = 6,039.24 × 3,834.32
  4. Step 4: Simplify right side
    4,386.64x = 23,156,378.72
  5. Step 5: Solve for x
    x = 23,156,378.72/4,386.64
  6. Step 6: Final answer
    x = 5,278.84

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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.