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Finding the Fourth Proportional to 4,537.35, 6,800.13 and 2,036.69

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Solution

The fourth proportional to 4,537.35, 6,800.13 and 2,036.69 is: 3,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.35 : 6,800.13 = 2,036.69 : x
  2. Step 2: Convert to fraction form
    4,537.35/6,800.13 = 2,036.69/x
  3. Step 3: Cross multiply
    4,537.35x = 6,800.13 × 2,036.69
  4. Step 4: Simplify right side
    4,537.35x = 13,849,756.77
  5. Step 5: Solve for x
    x = 13,849,756.77/4,537.35
  6. Step 6: Final answer
    x = 3,052.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.