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Finding the Fourth Proportional to 3,783.78, 5,672.18 and 2,030.00

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Solution

The fourth proportional to 3,783.78, 5,672.18 and 2,030.00 is: 3,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.78 : 5,672.18 = 2,030.00 : x
  2. Step 2: Convert to fraction form
    3,783.78/5,672.18 = 2,030.00/x
  3. Step 3: Cross multiply
    3,783.78x = 5,672.18 × 2,030.00
  4. Step 4: Simplify right side
    3,783.78x = 11,514,529.43
  5. Step 5: Solve for x
    x = 11,514,529.43/3,783.78
  6. Step 6: Final answer
    x = 3,043.13

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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.