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Finding the Fourth Proportional to 3,530.19, 5,295.19 and 933.15

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Solution

The fourth proportional to 3,530.19, 5,295.19 and 933.15 is: 1,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.19 : 5,295.19 = 933.15 : x
  2. Step 2: Convert to fraction form
    3,530.19/5,295.19 = 933.15/x
  3. Step 3: Cross multiply
    3,530.19x = 5,295.19 × 933.15
  4. Step 4: Simplify right side
    3,530.19x = 4,941,206.55
  5. Step 5: Solve for x
    x = 4,941,206.55/3,530.19
  6. Step 6: Final answer
    x = 1,399.70

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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.