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Finding the Fourth Proportional to 4,535.58, 6,804 and 1,415.82

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Solution

The fourth proportional to 4,535.58, 6,804 and 1,415.82 is: 2,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.58 : 6,804 = 1,415.82 : x
  2. Step 2: Convert to fraction form
    4,535.58/6,804 = 1,415.82/x
  3. Step 3: Cross multiply
    4,535.58x = 6,804 × 1,415.82
  4. Step 4: Simplify right side
    4,535.58x = 9,633,239.28
  5. Step 5: Solve for x
    x = 9,633,239.28/4,535.58
  6. Step 6: Final answer
    x = 2,123.93

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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.