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Finding the Fourth Proportional to 5,299.42, 7,316.56 and 3,411.70

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Solution

The fourth proportional to 5,299.42, 7,316.56 and 3,411.70 is: 4,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.42 : 7,316.56 = 3,411.70 : x
  2. Step 2: Convert to fraction form
    5,299.42/7,316.56 = 3,411.70/x
  3. Step 3: Cross multiply
    5,299.42x = 7,316.56 × 3,411.70
  4. Step 4: Simplify right side
    5,299.42x = 24,961,907.75
  5. Step 5: Solve for x
    x = 24,961,907.75/5,299.42
  6. Step 6: Final answer
    x = 4,710.31

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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.