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Finding the Fourth Proportional to 4,205.56, 5,804.24 and 2,437.72

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Solution

The fourth proportional to 4,205.56, 5,804.24 and 2,437.72 is: 3,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.56 : 5,804.24 = 2,437.72 : x
  2. Step 2: Convert to fraction form
    4,205.56/5,804.24 = 2,437.72/x
  3. Step 3: Cross multiply
    4,205.56x = 5,804.24 × 2,437.72
  4. Step 4: Simplify right side
    4,205.56x = 14,149,111.93
  5. Step 5: Solve for x
    x = 14,149,111.93/4,205.56
  6. Step 6: Final answer
    x = 3,364.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.