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Finding the Fourth Proportional to 4,656.58, 6,425.31 and 2,769.28

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Solution

The fourth proportional to 4,656.58, 6,425.31 and 2,769.28 is: 3,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.58 : 6,425.31 = 2,769.28 : x
  2. Step 2: Convert to fraction form
    4,656.58/6,425.31 = 2,769.28/x
  3. Step 3: Cross multiply
    4,656.58x = 6,425.31 × 2,769.28
  4. Step 4: Simplify right side
    4,656.58x = 17,793,482.48
  5. Step 5: Solve for x
    x = 17,793,482.48/4,656.58
  6. Step 6: Final answer
    x = 3,821.15

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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.