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Finding the Fourth Proportional to 2,806.35, 3,873.00 and 1,547.65

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Solution

The fourth proportional to 2,806.35, 3,873.00 and 1,547.65 is: 2,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.35 : 3,873.00 = 1,547.65 : x
  2. Step 2: Convert to fraction form
    2,806.35/3,873.00 = 1,547.65/x
  3. Step 3: Cross multiply
    2,806.35x = 3,873.00 × 1,547.65
  4. Step 4: Simplify right side
    2,806.35x = 5,994,054.75
  5. Step 5: Solve for x
    x = 5,994,054.75/2,806.35
  6. Step 6: Final answer
    x = 2,135.89

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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.