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Finding the Fourth Proportional to 4,719.84, 6,498.51 and 4,282.44

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Solution

The fourth proportional to 4,719.84, 6,498.51 and 4,282.44 is: 5,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.84 : 6,498.51 = 4,282.44 : x
  2. Step 2: Convert to fraction form
    4,719.84/6,498.51 = 4,282.44/x
  3. Step 3: Cross multiply
    4,719.84x = 6,498.51 × 4,282.44
  4. Step 4: Simplify right side
    4,719.84x = 27,829,479.16
  5. Step 5: Solve for x
    x = 27,829,479.16/4,719.84
  6. Step 6: Final answer
    x = 5,896.28

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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.