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Finding the Fourth Proportional to 4,810.24, 7,218.60 and 1,888.16

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Solution

The fourth proportional to 4,810.24, 7,218.60 and 1,888.16 is: 2,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.24 : 7,218.60 = 1,888.16 : x
  2. Step 2: Convert to fraction form
    4,810.24/7,218.60 = 1,888.16/x
  3. Step 3: Cross multiply
    4,810.24x = 7,218.60 × 1,888.16
  4. Step 4: Simplify right side
    4,810.24x = 13,629,871.78
  5. Step 5: Solve for x
    x = 13,629,871.78/4,810.24
  6. Step 6: Final answer
    x = 2,833.51

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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.