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Finding the Fourth Proportional to 6,056.24, 8,358 and 3,403.76

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Solution

The fourth proportional to 6,056.24, 8,358 and 3,403.76 is: 4,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.24 : 8,358 = 3,403.76 : x
  2. Step 2: Convert to fraction form
    6,056.24/8,358 = 3,403.76/x
  3. Step 3: Cross multiply
    6,056.24x = 8,358 × 3,403.76
  4. Step 4: Simplify right side
    6,056.24x = 28,448,626.08
  5. Step 5: Solve for x
    x = 28,448,626.08/6,056.24
  6. Step 6: Final answer
    x = 4,697.41

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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.