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Finding the Fourth Proportional to 5,313.57, 7,968.74 and 4,271.10

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Solution

The fourth proportional to 5,313.57, 7,968.74 and 4,271.10 is: 6,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.57 : 7,968.74 = 4,271.10 : x
  2. Step 2: Convert to fraction form
    5,313.57/7,968.74 = 4,271.10/x
  3. Step 3: Cross multiply
    5,313.57x = 7,968.74 × 4,271.10
  4. Step 4: Simplify right side
    5,313.57x = 34,035,264.06
  5. Step 5: Solve for x
    x = 34,035,264.06/5,313.57
  6. Step 6: Final answer
    x = 6,405.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.