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Finding the Fourth Proportional to 5,235.39, 7,852.49 and 1,537.65

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Solution

The fourth proportional to 5,235.39, 7,852.49 and 1,537.65 is: 2,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.39 : 7,852.49 = 1,537.65 : x
  2. Step 2: Convert to fraction form
    5,235.39/7,852.49 = 1,537.65/x
  3. Step 3: Cross multiply
    5,235.39x = 7,852.49 × 1,537.65
  4. Step 4: Simplify right side
    5,235.39x = 12,074,381.25
  5. Step 5: Solve for x
    x = 12,074,381.25/5,235.39
  6. Step 6: Final answer
    x = 2,306.30

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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.