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Finding the Fourth Proportional to 4,833.16, 6,669.86 and 2,969

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Solution

The fourth proportional to 4,833.16, 6,669.86 and 2,969 is: 4,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.16 : 6,669.86 = 2,969 : x
  2. Step 2: Convert to fraction form
    4,833.16/6,669.86 = 2,969/x
  3. Step 3: Cross multiply
    4,833.16x = 6,669.86 × 2,969
  4. Step 4: Simplify right side
    4,833.16x = 19,802,814.34
  5. Step 5: Solve for x
    x = 19,802,814.34/4,833.16
  6. Step 6: Final answer
    x = 4,097.28

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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.