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Finding the Fourth Proportional to 4,030.20, 5,653.80 and 4,030.20

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Solution

The fourth proportional to 4,030.20, 5,653.80 and 4,030.20 is: 5,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.20 : 5,653.80 = 4,030.20 : x
  2. Step 2: Convert to fraction form
    4,030.20/5,653.80 = 4,030.20/x
  3. Step 3: Cross multiply
    4,030.20x = 5,653.80 × 4,030.20
  4. Step 4: Simplify right side
    4,030.20x = 22,785,944.76
  5. Step 5: Solve for x
    x = 22,785,944.76/4,030.20
  6. Step 6: Final answer
    x = 5,653.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.