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Finding the Fourth Proportional to 4,053.40, 6,078 and 1,860.24

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Solution

The fourth proportional to 4,053.40, 6,078 and 1,860.24 is: 2,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.40 : 6,078 = 1,860.24 : x
  2. Step 2: Convert to fraction form
    4,053.40/6,078 = 1,860.24/x
  3. Step 3: Cross multiply
    4,053.40x = 6,078 × 1,860.24
  4. Step 4: Simplify right side
    4,053.40x = 11,306,538.72
  5. Step 5: Solve for x
    x = 11,306,538.72/4,053.40
  6. Step 6: Final answer
    x = 2,789.40

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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.