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Finding the Fourth Proportional to 3,967.84, 5,476.88 and 2,312.16

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Solution

The fourth proportional to 3,967.84, 5,476.88 and 2,312.16 is: 3,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.84 : 5,476.88 = 2,312.16 : x
  2. Step 2: Convert to fraction form
    3,967.84/5,476.88 = 2,312.16/x
  3. Step 3: Cross multiply
    3,967.84x = 5,476.88 × 2,312.16
  4. Step 4: Simplify right side
    3,967.84x = 12,663,422.86
  5. Step 5: Solve for x
    x = 12,663,422.86/3,967.84
  6. Step 6: Final answer
    x = 3,191.52

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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.