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Finding the Fourth Proportional to 5,471.66, 7,554.38 and 3,585.98

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Solution

The fourth proportional to 5,471.66, 7,554.38 and 3,585.98 is: 4,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.66 : 7,554.38 = 3,585.98 : x
  2. Step 2: Convert to fraction form
    5,471.66/7,554.38 = 3,585.98/x
  3. Step 3: Cross multiply
    5,471.66x = 7,554.38 × 3,585.98
  4. Step 4: Simplify right side
    5,471.66x = 27,089,799.89
  5. Step 5: Solve for x
    x = 27,089,799.89/5,471.66
  6. Step 6: Final answer
    x = 4,950.93

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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.