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Finding the Fourth Proportional to 4,324.64, 6,484.82 and 1,402.56

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Solution

The fourth proportional to 4,324.64, 6,484.82 and 1,402.56 is: 2,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.64 : 6,484.82 = 1,402.56 : x
  2. Step 2: Convert to fraction form
    4,324.64/6,484.82 = 1,402.56/x
  3. Step 3: Cross multiply
    4,324.64x = 6,484.82 × 1,402.56
  4. Step 4: Simplify right side
    4,324.64x = 9,095,342.13
  5. Step 5: Solve for x
    x = 9,095,342.13/4,324.64
  6. Step 6: Final answer
    x = 2,103.15

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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.