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Finding the Fourth Proportional to 4,926.56, 6,798.75 and 3,865.60

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Solution

The fourth proportional to 4,926.56, 6,798.75 and 3,865.60 is: 5,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.56 : 6,798.75 = 3,865.60 : x
  2. Step 2: Convert to fraction form
    4,926.56/6,798.75 = 3,865.60/x
  3. Step 3: Cross multiply
    4,926.56x = 6,798.75 × 3,865.60
  4. Step 4: Simplify right side
    4,926.56x = 26,281,214.01
  5. Step 5: Solve for x
    x = 26,281,214.01/4,926.56
  6. Step 6: Final answer
    x = 5,334.60

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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.