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Finding the Fourth Proportional to 5,312.36, 7,962.76 and 2,024

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Solution

The fourth proportional to 5,312.36, 7,962.76 and 2,024 is: 3,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.36 : 7,962.76 = 2,024 : x
  2. Step 2: Convert to fraction form
    5,312.36/7,962.76 = 2,024/x
  3. Step 3: Cross multiply
    5,312.36x = 7,962.76 × 2,024
  4. Step 4: Simplify right side
    5,312.36x = 16,116,626.24
  5. Step 5: Solve for x
    x = 16,116,626.24/5,312.36
  6. Step 6: Final answer
    x = 3,033.80

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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.