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Finding the Fourth Proportional to 4,298.96, 5,932.47 and 2,506.82

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Solution

The fourth proportional to 4,298.96, 5,932.47 and 2,506.82 is: 3,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.96 : 5,932.47 = 2,506.82 : x
  2. Step 2: Convert to fraction form
    4,298.96/5,932.47 = 2,506.82/x
  3. Step 3: Cross multiply
    4,298.96x = 5,932.47 × 2,506.82
  4. Step 4: Simplify right side
    4,298.96x = 14,871,634.45
  5. Step 5: Solve for x
    x = 14,871,634.45/4,298.96
  6. Step 6: Final answer
    x = 3,459.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.