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Finding the Fourth Proportional to 5,492.18, 7,591.67 and 5,056.23

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Solution

The fourth proportional to 5,492.18, 7,591.67 and 5,056.23 is: 6,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.18 : 7,591.67 = 5,056.23 : x
  2. Step 2: Convert to fraction form
    5,492.18/7,591.67 = 5,056.23/x
  3. Step 3: Cross multiply
    5,492.18x = 7,591.67 × 5,056.23
  4. Step 4: Simplify right side
    5,492.18x = 38,385,204.32
  5. Step 5: Solve for x
    x = 38,385,204.32/5,492.18
  6. Step 6: Final answer
    x = 6,989.07

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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.