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Finding the Fourth Proportional to 5,152.40, 7,740.94 and 3,307.14

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Solution

The fourth proportional to 5,152.40, 7,740.94 and 3,307.14 is: 4,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.40 : 7,740.94 = 3,307.14 : x
  2. Step 2: Convert to fraction form
    5,152.40/7,740.94 = 3,307.14/x
  3. Step 3: Cross multiply
    5,152.40x = 7,740.94 × 3,307.14
  4. Step 4: Simplify right side
    5,152.40x = 25,600,372.31
  5. Step 5: Solve for x
    x = 25,600,372.31/5,152.40
  6. Step 6: Final answer
    x = 4,968.63

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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.