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Finding the Fourth Proportional to 4,699.32, 7,048.38 and 1,777.26

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Solution

The fourth proportional to 4,699.32, 7,048.38 and 1,777.26 is: 2,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.32 : 7,048.38 = 1,777.26 : x
  2. Step 2: Convert to fraction form
    4,699.32/7,048.38 = 1,777.26/x
  3. Step 3: Cross multiply
    4,699.32x = 7,048.38 × 1,777.26
  4. Step 4: Simplify right side
    4,699.32x = 12,526,803.84
  5. Step 5: Solve for x
    x = 12,526,803.84/4,699.32
  6. Step 6: Final answer
    x = 2,665.66

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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.