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Finding the Fourth Proportional to 3,527.58, 5,296.56 and 1,970.63

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Solution

The fourth proportional to 3,527.58, 5,296.56 and 1,970.63 is: 2,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.58 : 5,296.56 = 1,970.63 : x
  2. Step 2: Convert to fraction form
    3,527.58/5,296.56 = 1,970.63/x
  3. Step 3: Cross multiply
    3,527.58x = 5,296.56 × 1,970.63
  4. Step 4: Simplify right side
    3,527.58x = 10,437,562.65
  5. Step 5: Solve for x
    x = 10,437,562.65/3,527.58
  6. Step 6: Final answer
    x = 2,958.85

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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.