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Finding the Fourth Proportional to 3,527.51, 5,291.46 and 930.38

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Solution

The fourth proportional to 3,527.51, 5,291.46 and 930.38 is: 1,395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.51 : 5,291.46 = 930.38 : x
  2. Step 2: Convert to fraction form
    3,527.51/5,291.46 = 930.38/x
  3. Step 3: Cross multiply
    3,527.51x = 5,291.46 × 930.38
  4. Step 4: Simplify right side
    3,527.51x = 4,923,042.10
  5. Step 5: Solve for x
    x = 4,923,042.10/3,527.51
  6. Step 6: Final answer
    x = 1,395.62

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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.