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Finding the Fourth Proportional to 4,536.96, 6,803.60 and 1,415.93

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Solution

The fourth proportional to 4,536.96, 6,803.60 and 1,415.93 is: 2,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.96 : 6,803.60 = 1,415.93 : x
  2. Step 2: Convert to fraction form
    4,536.96/6,803.60 = 1,415.93/x
  3. Step 3: Cross multiply
    4,536.96x = 6,803.60 × 1,415.93
  4. Step 4: Simplify right side
    4,536.96x = 9,633,380.25
  5. Step 5: Solve for x
    x = 9,633,380.25/4,536.96
  6. Step 6: Final answer
    x = 2,123.31

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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.