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Finding the Fourth Proportional to 5,152.77, 7,740.08 and 4,852.83

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Solution

The fourth proportional to 5,152.77, 7,740.08 and 4,852.83 is: 7,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.77 : 7,740.08 = 4,852.83 : x
  2. Step 2: Convert to fraction form
    5,152.77/7,740.08 = 4,852.83/x
  3. Step 3: Cross multiply
    5,152.77x = 7,740.08 × 4,852.83
  4. Step 4: Simplify right side
    5,152.77x = 37,561,292.43
  5. Step 5: Solve for x
    x = 37,561,292.43/5,152.77
  6. Step 6: Final answer
    x = 7,289.53

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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.