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Finding the Fourth Proportional to 5,884.65, 8,076.51 and 5,384.07

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Solution

The fourth proportional to 5,884.65, 8,076.51 and 5,384.07 is: 7,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.65 : 8,076.51 = 5,384.07 : x
  2. Step 2: Convert to fraction form
    5,884.65/8,076.51 = 5,384.07/x
  3. Step 3: Cross multiply
    5,884.65x = 8,076.51 × 5,384.07
  4. Step 4: Simplify right side
    5,884.65x = 43,484,495.20
  5. Step 5: Solve for x
    x = 43,484,495.20/5,884.65
  6. Step 6: Final answer
    x = 7,389.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.