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Finding the Fourth Proportional to 3,312.52, 4,968.74 and 1,004

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Solution

The fourth proportional to 3,312.52, 4,968.74 and 1,004 is: 1,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.52 : 4,968.74 = 1,004 : x
  2. Step 2: Convert to fraction form
    3,312.52/4,968.74 = 1,004/x
  3. Step 3: Cross multiply
    3,312.52x = 4,968.74 × 1,004
  4. Step 4: Simplify right side
    3,312.52x = 4,988,614.96
  5. Step 5: Solve for x
    x = 4,988,614.96/3,312.52
  6. Step 6: Final answer
    x = 1,505.99

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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.