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Finding the Fourth Proportional to 4,848.65, 6,684.08 and 3,854.33

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Solution

The fourth proportional to 4,848.65, 6,684.08 and 3,854.33 is: 5,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.65 : 6,684.08 = 3,854.33 : x
  2. Step 2: Convert to fraction form
    4,848.65/6,684.08 = 3,854.33/x
  3. Step 3: Cross multiply
    4,848.65x = 6,684.08 × 3,854.33
  4. Step 4: Simplify right side
    4,848.65x = 25,762,597.37
  5. Step 5: Solve for x
    x = 25,762,597.37/4,848.65
  6. Step 6: Final answer
    x = 5,313.36

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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.