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Finding the Fourth Proportional to 3,962.84, 5,468.10 and 2,284.32

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Solution

The fourth proportional to 3,962.84, 5,468.10 and 2,284.32 is: 3,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.84 : 5,468.10 = 2,284.32 : x
  2. Step 2: Convert to fraction form
    3,962.84/5,468.10 = 2,284.32/x
  3. Step 3: Cross multiply
    3,962.84x = 5,468.10 × 2,284.32
  4. Step 4: Simplify right side
    3,962.84x = 12,490,890.19
  5. Step 5: Solve for x
    x = 12,490,890.19/3,962.84
  6. Step 6: Final answer
    x = 3,152.00

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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.