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Finding the Fourth Proportional to 5,646.67, 7,798.80 and 3,851.08

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Solution

The fourth proportional to 5,646.67, 7,798.80 and 3,851.08 is: 5,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.67 : 7,798.80 = 3,851.08 : x
  2. Step 2: Convert to fraction form
    5,646.67/7,798.80 = 3,851.08/x
  3. Step 3: Cross multiply
    5,646.67x = 7,798.80 × 3,851.08
  4. Step 4: Simplify right side
    5,646.67x = 30,033,802.70
  5. Step 5: Solve for x
    x = 30,033,802.70/5,646.67
  6. Step 6: Final answer
    x = 5,318.85

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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.