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Finding the Fourth Proportional to 4,751.64, 7,128.09 and 1,464.30

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Solution

The fourth proportional to 4,751.64, 7,128.09 and 1,464.30 is: 2,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.64 : 7,128.09 = 1,464.30 : x
  2. Step 2: Convert to fraction form
    4,751.64/7,128.09 = 1,464.30/x
  3. Step 3: Cross multiply
    4,751.64x = 7,128.09 × 1,464.30
  4. Step 4: Simplify right side
    4,751.64x = 10,437,662.19
  5. Step 5: Solve for x
    x = 10,437,662.19/4,751.64
  6. Step 6: Final answer
    x = 2,196.64

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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.