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Finding the Fourth Proportional to 4,770.06, 6,579.14 and 4,560.68

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Solution

The fourth proportional to 4,770.06, 6,579.14 and 4,560.68 is: 6,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.06 : 6,579.14 = 4,560.68 : x
  2. Step 2: Convert to fraction form
    4,770.06/6,579.14 = 4,560.68/x
  3. Step 3: Cross multiply
    4,770.06x = 6,579.14 × 4,560.68
  4. Step 4: Simplify right side
    4,770.06x = 30,005,352.22
  5. Step 5: Solve for x
    x = 30,005,352.22/4,770.06
  6. Step 6: Final answer
    x = 6,290.35

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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.