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Finding the Fourth Proportional to 3,526.64, 5,290.02 and 1,336.40

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Solution

The fourth proportional to 3,526.64, 5,290.02 and 1,336.40 is: 2,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.64 : 5,290.02 = 1,336.40 : x
  2. Step 2: Convert to fraction form
    3,526.64/5,290.02 = 1,336.40/x
  3. Step 3: Cross multiply
    3,526.64x = 5,290.02 × 1,336.40
  4. Step 4: Simplify right side
    3,526.64x = 7,069,582.73
  5. Step 5: Solve for x
    x = 7,069,582.73/3,526.64
  6. Step 6: Final answer
    x = 2,004.62

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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.