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Finding the Fourth Proportional to 4,784.08, 7,175.70 and 1,321

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Solution

The fourth proportional to 4,784.08, 7,175.70 and 1,321 is: 1,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.08 : 7,175.70 = 1,321 : x
  2. Step 2: Convert to fraction form
    4,784.08/7,175.70 = 1,321/x
  3. Step 3: Cross multiply
    4,784.08x = 7,175.70 × 1,321
  4. Step 4: Simplify right side
    4,784.08x = 9,479,099.70
  5. Step 5: Solve for x
    x = 9,479,099.70/4,784.08
  6. Step 6: Final answer
    x = 1,981.38

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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.