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Finding the Fourth Proportional to 3,009.16, 4,515.36 and 3,000

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Solution

The fourth proportional to 3,009.16, 4,515.36 and 3,000 is: 4,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.16 : 4,515.36 = 3,000 : x
  2. Step 2: Convert to fraction form
    3,009.16/4,515.36 = 3,000/x
  3. Step 3: Cross multiply
    3,009.16x = 4,515.36 × 3,000
  4. Step 4: Simplify right side
    3,009.16x = 13,546,080.00
  5. Step 5: Solve for x
    x = 13,546,080.00/3,009.16
  6. Step 6: Final answer
    x = 4,501.62

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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.