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Finding the Fourth Proportional to 5,416.81, 8,125.22 and 1,312.81

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Solution

The fourth proportional to 5,416.81, 8,125.22 and 1,312.81 is: 1,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.81 : 8,125.22 = 1,312.81 : x
  2. Step 2: Convert to fraction form
    5,416.81/8,125.22 = 1,312.81/x
  3. Step 3: Cross multiply
    5,416.81x = 8,125.22 × 1,312.81
  4. Step 4: Simplify right side
    5,416.81x = 10,666,888.74
  5. Step 5: Solve for x
    x = 10,666,888.74/5,416.81
  6. Step 6: Final answer
    x = 1,969.22

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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.