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Finding the Fourth Proportional to 5,426.77, 7,492.31 and 4,165.41

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Solution

The fourth proportional to 5,426.77, 7,492.31 and 4,165.41 is: 5,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.77 : 7,492.31 = 4,165.41 : x
  2. Step 2: Convert to fraction form
    5,426.77/7,492.31 = 4,165.41/x
  3. Step 3: Cross multiply
    5,426.77x = 7,492.31 × 4,165.41
  4. Step 4: Simplify right side
    5,426.77x = 31,208,543.00
  5. Step 5: Solve for x
    x = 31,208,543.00/5,426.77
  6. Step 6: Final answer
    x = 5,750.85

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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.