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Finding the Fourth Proportional to 4,564.90, 6,844.72 and 1,788.33

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Solution

The fourth proportional to 4,564.90, 6,844.72 and 1,788.33 is: 2,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.90 : 6,844.72 = 1,788.33 : x
  2. Step 2: Convert to fraction form
    4,564.90/6,844.72 = 1,788.33/x
  3. Step 3: Cross multiply
    4,564.90x = 6,844.72 × 1,788.33
  4. Step 4: Simplify right side
    4,564.90x = 12,240,618.12
  5. Step 5: Solve for x
    x = 12,240,618.12/4,564.90
  6. Step 6: Final answer
    x = 2,681.46

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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.