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Finding the Fourth Proportional to 5,492.41, 7,579.93 and 3,102.65

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Solution

The fourth proportional to 5,492.41, 7,579.93 and 3,102.65 is: 4,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.41 : 7,579.93 = 3,102.65 : x
  2. Step 2: Convert to fraction form
    5,492.41/7,579.93 = 3,102.65/x
  3. Step 3: Cross multiply
    5,492.41x = 7,579.93 × 3,102.65
  4. Step 4: Simplify right side
    5,492.41x = 23,517,901.04
  5. Step 5: Solve for x
    x = 23,517,901.04/5,492.41
  6. Step 6: Final answer
    x = 4,281.89

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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.