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Finding the Fourth Proportional to 4,697.77, 7,046.10 and 1,235.29

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Solution

The fourth proportional to 4,697.77, 7,046.10 and 1,235.29 is: 1,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.77 : 7,046.10 = 1,235.29 : x
  2. Step 2: Convert to fraction form
    4,697.77/7,046.10 = 1,235.29/x
  3. Step 3: Cross multiply
    4,697.77x = 7,046.10 × 1,235.29
  4. Step 4: Simplify right side
    4,697.77x = 8,703,970.69
  5. Step 5: Solve for x
    x = 8,703,970.69/4,697.77
  6. Step 6: Final answer
    x = 1,852.79

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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.