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Finding the Fourth Proportional to 3,526.50, 5,289.74 and 929.42

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Solution

The fourth proportional to 3,526.50, 5,289.74 and 929.42 is: 1,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.50 : 5,289.74 = 929.42 : x
  2. Step 2: Convert to fraction form
    3,526.50/5,289.74 = 929.42/x
  3. Step 3: Cross multiply
    3,526.50x = 5,289.74 × 929.42
  4. Step 4: Simplify right side
    3,526.50x = 4,916,390.15
  5. Step 5: Solve for x
    x = 4,916,390.15/3,526.50
  6. Step 6: Final answer
    x = 1,394.13

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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.