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Finding the Fourth Proportional to 4,784.69, 7,176.21 and 1,321.13

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Solution

The fourth proportional to 4,784.69, 7,176.21 and 1,321.13 is: 1,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.69 : 7,176.21 = 1,321.13 : x
  2. Step 2: Convert to fraction form
    4,784.69/7,176.21 = 1,321.13/x
  3. Step 3: Cross multiply
    4,784.69x = 7,176.21 × 1,321.13
  4. Step 4: Simplify right side
    4,784.69x = 9,480,706.32
  5. Step 5: Solve for x
    x = 9,480,706.32/4,784.69
  6. Step 6: Final answer
    x = 1,981.47

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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.