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Finding the Fourth Proportional to 4,788, 7,182.48 and 2,594.40

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Solution

The fourth proportional to 4,788, 7,182.48 and 2,594.40 is: 3,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788 : 7,182.48 = 2,594.40 : x
  2. Step 2: Convert to fraction form
    4,788/7,182.48 = 2,594.40/x
  3. Step 3: Cross multiply
    4,788x = 7,182.48 × 2,594.40
  4. Step 4: Simplify right side
    4,788x = 18,634,226.11
  5. Step 5: Solve for x
    x = 18,634,226.11/4,788
  6. Step 6: Final answer
    x = 3,891.86

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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.