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Finding the Fourth Proportional to 4,519.64, 6,749.38 and 4,470.77

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Solution

The fourth proportional to 4,519.64, 6,749.38 and 4,470.77 is: 6,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,519.64 : 6,749.38 = 4,470.77 : x
  2. Step 2: Convert to fraction form
    4,519.64/6,749.38 = 4,470.77/x
  3. Step 3: Cross multiply
    4,519.64x = 6,749.38 × 4,470.77
  4. Step 4: Simplify right side
    4,519.64x = 30,174,925.62
  5. Step 5: Solve for x
    x = 30,174,925.62/4,519.64
  6. Step 6: Final answer
    x = 6,676.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.