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Finding the Fourth Proportional to 5,436.57, 7,485.78 and 4,760.51

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Solution

The fourth proportional to 5,436.57, 7,485.78 and 4,760.51 is: 6,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.57 : 7,485.78 = 4,760.51 : x
  2. Step 2: Convert to fraction form
    5,436.57/7,485.78 = 4,760.51/x
  3. Step 3: Cross multiply
    5,436.57x = 7,485.78 × 4,760.51
  4. Step 4: Simplify right side
    5,436.57x = 35,636,093.12
  5. Step 5: Solve for x
    x = 35,636,093.12/5,436.57
  6. Step 6: Final answer
    x = 6,554.89

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