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Finding the Fourth Proportional to 4,095.84, 5,656.80 and 2,774.88

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Solution

The fourth proportional to 4,095.84, 5,656.80 and 2,774.88 is: 3,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.84 : 5,656.80 = 2,774.88 : x
  2. Step 2: Convert to fraction form
    4,095.84/5,656.80 = 2,774.88/x
  3. Step 3: Cross multiply
    4,095.84x = 5,656.80 × 2,774.88
  4. Step 4: Simplify right side
    4,095.84x = 15,696,941.18
  5. Step 5: Solve for x
    x = 15,696,941.18/4,095.84
  6. Step 6: Final answer
    x = 3,832.41

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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.