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Finding the Fourth Proportional to 5,435.94, 7,501.92 and 3,078.30

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Solution

The fourth proportional to 5,435.94, 7,501.92 and 3,078.30 is: 4,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.94 : 7,501.92 = 3,078.30 : x
  2. Step 2: Convert to fraction form
    5,435.94/7,501.92 = 3,078.30/x
  3. Step 3: Cross multiply
    5,435.94x = 7,501.92 × 3,078.30
  4. Step 4: Simplify right side
    5,435.94x = 23,093,160.34
  5. Step 5: Solve for x
    x = 23,093,160.34/5,435.94
  6. Step 6: Final answer
    x = 4,248.24

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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.