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Finding the Fourth Proportional to 5,638.94, 8,410.73 and 5,313.72

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Solution

The fourth proportional to 5,638.94, 8,410.73 and 5,313.72 is: 7,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.94 : 8,410.73 = 5,313.72 : x
  2. Step 2: Convert to fraction form
    5,638.94/8,410.73 = 5,313.72/x
  3. Step 3: Cross multiply
    5,638.94x = 8,410.73 × 5,313.72
  4. Step 4: Simplify right side
    5,638.94x = 44,692,264.22
  5. Step 5: Solve for x
    x = 44,692,264.22/5,638.94
  6. Step 6: Final answer
    x = 7,925.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.