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Finding the Fourth Proportional to 4,657.09, 6,985.46 and 1,579.09

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Solution

The fourth proportional to 4,657.09, 6,985.46 and 1,579.09 is: 2,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.09 : 6,985.46 = 1,579.09 : x
  2. Step 2: Convert to fraction form
    4,657.09/6,985.46 = 1,579.09/x
  3. Step 3: Cross multiply
    4,657.09x = 6,985.46 × 1,579.09
  4. Step 4: Simplify right side
    4,657.09x = 11,030,662.14
  5. Step 5: Solve for x
    x = 11,030,662.14/4,657.09
  6. Step 6: Final answer
    x = 2,368.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.