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Finding the Fourth Proportional to 4,175.84, 5,762.80 and 2,312.88

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Solution

The fourth proportional to 4,175.84, 5,762.80 and 2,312.88 is: 3,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.84 : 5,762.80 = 2,312.88 : x
  2. Step 2: Convert to fraction form
    4,175.84/5,762.80 = 2,312.88/x
  3. Step 3: Cross multiply
    4,175.84x = 5,762.80 × 2,312.88
  4. Step 4: Simplify right side
    4,175.84x = 13,328,664.86
  5. Step 5: Solve for x
    x = 13,328,664.86/4,175.84
  6. Step 6: Final answer
    x = 3,191.85

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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.