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Finding the Fourth Proportional to 3,528.07, 5,292.32 and 930.94

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Solution

The fourth proportional to 3,528.07, 5,292.32 and 930.94 is: 1,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.07 : 5,292.32 = 930.94 : x
  2. Step 2: Convert to fraction form
    3,528.07/5,292.32 = 930.94/x
  3. Step 3: Cross multiply
    3,528.07x = 5,292.32 × 930.94
  4. Step 4: Simplify right side
    3,528.07x = 4,926,814.50
  5. Step 5: Solve for x
    x = 4,926,814.50/3,528.07
  6. Step 6: Final answer
    x = 1,396.46

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Why These Related Problems?

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