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Finding the Fourth Proportional to 4,751.53, 7,128.68 and 1,465.16

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Solution

The fourth proportional to 4,751.53, 7,128.68 and 1,465.16 is: 2,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.53 : 7,128.68 = 1,465.16 : x
  2. Step 2: Convert to fraction form
    4,751.53/7,128.68 = 1,465.16/x
  3. Step 3: Cross multiply
    4,751.53x = 7,128.68 × 1,465.16
  4. Step 4: Simplify right side
    4,751.53x = 10,444,613.82
  5. Step 5: Solve for x
    x = 10,444,613.82/4,751.53
  6. Step 6: Final answer
    x = 2,198.16

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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.