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Finding the Fourth Proportional to 3,530.99, 4,873.37 and 2,038.64

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Solution

The fourth proportional to 3,530.99, 4,873.37 and 2,038.64 is: 2,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.99 : 4,873.37 = 2,038.64 : x
  2. Step 2: Convert to fraction form
    3,530.99/4,873.37 = 2,038.64/x
  3. Step 3: Cross multiply
    3,530.99x = 4,873.37 × 2,038.64
  4. Step 4: Simplify right side
    3,530.99x = 9,935,012.46
  5. Step 5: Solve for x
    x = 9,935,012.46/3,530.99
  6. Step 6: Final answer
    x = 2,813.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.