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Finding the Fourth Proportional to 4,911.24, 7,368.24 and 1,448.52

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Solution

The fourth proportional to 4,911.24, 7,368.24 and 1,448.52 is: 2,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.24 : 7,368.24 = 1,448.52 : x
  2. Step 2: Convert to fraction form
    4,911.24/7,368.24 = 1,448.52/x
  3. Step 3: Cross multiply
    4,911.24x = 7,368.24 × 1,448.52
  4. Step 4: Simplify right side
    4,911.24x = 10,673,043.00
  5. Step 5: Solve for x
    x = 10,673,043.00/4,911.24
  6. Step 6: Final answer
    x = 2,173.19

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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.