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Finding the Fourth Proportional to 4,322.69, 6,484.98 and 1,401.29

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Solution

The fourth proportional to 4,322.69, 6,484.98 and 1,401.29 is: 2,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.69 : 6,484.98 = 1,401.29 : x
  2. Step 2: Convert to fraction form
    4,322.69/6,484.98 = 1,401.29/x
  3. Step 3: Cross multiply
    4,322.69x = 6,484.98 × 1,401.29
  4. Step 4: Simplify right side
    4,322.69x = 9,087,298.19
  5. Step 5: Solve for x
    x = 9,087,298.19/4,322.69
  6. Step 6: Final answer
    x = 2,102.23

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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.