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Finding the Fourth Proportional to 3,529.40, 5,294.70 and 1,064.00

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Solution

The fourth proportional to 3,529.40, 5,294.70 and 1,064.00 is: 1,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.40 : 5,294.70 = 1,064.00 : x
  2. Step 2: Convert to fraction form
    3,529.40/5,294.70 = 1,064.00/x
  3. Step 3: Cross multiply
    3,529.40x = 5,294.70 × 1,064.00
  4. Step 4: Simplify right side
    3,529.40x = 5,633,574.04
  5. Step 5: Solve for x
    x = 5,633,574.04/3,529.40
  6. Step 6: Final answer
    x = 1,596.19

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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.