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Finding the Fourth Proportional to 4,671.64, 7,007.46 and 4,386.52

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Solution

The fourth proportional to 4,671.64, 7,007.46 and 4,386.52 is: 6,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.64 : 7,007.46 = 4,386.52 : x
  2. Step 2: Convert to fraction form
    4,671.64/7,007.46 = 4,386.52/x
  3. Step 3: Cross multiply
    4,671.64x = 7,007.46 × 4,386.52
  4. Step 4: Simplify right side
    4,671.64x = 30,738,363.44
  5. Step 5: Solve for x
    x = 30,738,363.44/4,671.64
  6. Step 6: Final answer
    x = 6,579.78

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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.