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Finding the Fourth Proportional to 5,402.94, 7,456.06 and 3,045.16

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Solution

The fourth proportional to 5,402.94, 7,456.06 and 3,045.16 is: 4,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.94 : 7,456.06 = 3,045.16 : x
  2. Step 2: Convert to fraction form
    5,402.94/7,456.06 = 3,045.16/x
  3. Step 3: Cross multiply
    5,402.94x = 7,456.06 × 3,045.16
  4. Step 4: Simplify right side
    5,402.94x = 22,704,899.08
  5. Step 5: Solve for x
    x = 22,704,899.08/5,402.94
  6. Step 6: Final answer
    x = 4,202.32

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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.