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Finding the Fourth Proportional to 3,526.68, 4,866.88 and 1,933.31

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Solution

The fourth proportional to 3,526.68, 4,866.88 and 1,933.31 is: 2,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.68 : 4,866.88 = 1,933.31 : x
  2. Step 2: Convert to fraction form
    3,526.68/4,866.88 = 1,933.31/x
  3. Step 3: Cross multiply
    3,526.68x = 4,866.88 × 1,933.31
  4. Step 4: Simplify right side
    3,526.68x = 9,409,195.11
  5. Step 5: Solve for x
    x = 9,409,195.11/3,526.68
  6. Step 6: Final answer
    x = 2,668.00

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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.