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Finding the Fourth Proportional to 5,894.40, 8,130.24 and 4,844.64

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Solution

The fourth proportional to 5,894.40, 8,130.24 and 4,844.64 is: 6,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.40 : 8,130.24 = 4,844.64 : x
  2. Step 2: Convert to fraction form
    5,894.40/8,130.24 = 4,844.64/x
  3. Step 3: Cross multiply
    5,894.40x = 8,130.24 × 4,844.64
  4. Step 4: Simplify right side
    5,894.40x = 39,388,085.91
  5. Step 5: Solve for x
    x = 39,388,085.91/5,894.40
  6. Step 6: Final answer
    x = 6,682.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.