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Finding the Fourth Proportional to 4,077.02, 6,115.52 and 999.02

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Solution

The fourth proportional to 4,077.02, 6,115.52 and 999.02 is: 1,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.02 : 6,115.52 = 999.02 : x
  2. Step 2: Convert to fraction form
    4,077.02/6,115.52 = 999.02/x
  3. Step 3: Cross multiply
    4,077.02x = 6,115.52 × 999.02
  4. Step 4: Simplify right side
    4,077.02x = 6,109,491.22
  5. Step 5: Solve for x
    x = 6,109,491.22/4,077.02
  6. Step 6: Final answer
    x = 1,498.52

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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.