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Finding the Fourth Proportional to 3,693.58, 5,526.42 and 2,051.30

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Solution

The fourth proportional to 3,693.58, 5,526.42 and 2,051.30 is: 3,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.58 : 5,526.42 = 2,051.30 : x
  2. Step 2: Convert to fraction form
    3,693.58/5,526.42 = 2,051.30/x
  3. Step 3: Cross multiply
    3,693.58x = 5,526.42 × 2,051.30
  4. Step 4: Simplify right side
    3,693.58x = 11,336,345.35
  5. Step 5: Solve for x
    x = 11,336,345.35/3,693.58
  6. Step 6: Final answer
    x = 3,069.20

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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.