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Finding the Fourth Proportional to 5,162.94, 7,130.70 and 3,402.36

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Solution

The fourth proportional to 5,162.94, 7,130.70 and 3,402.36 is: 4,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.94 : 7,130.70 = 3,402.36 : x
  2. Step 2: Convert to fraction form
    5,162.94/7,130.70 = 3,402.36/x
  3. Step 3: Cross multiply
    5,162.94x = 7,130.70 × 3,402.36
  4. Step 4: Simplify right side
    5,162.94x = 24,261,208.45
  5. Step 5: Solve for x
    x = 24,261,208.45/5,162.94
  6. Step 6: Final answer
    x = 4,699.11

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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.