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Finding the Fourth Proportional to 3,876.32, 5,802.96 and 2,332.64

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Solution

The fourth proportional to 3,876.32, 5,802.96 and 2,332.64 is: 3,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.32 : 5,802.96 = 2,332.64 : x
  2. Step 2: Convert to fraction form
    3,876.32/5,802.96 = 2,332.64/x
  3. Step 3: Cross multiply
    3,876.32x = 5,802.96 × 2,332.64
  4. Step 4: Simplify right side
    3,876.32x = 13,536,216.61
  5. Step 5: Solve for x
    x = 13,536,216.61/3,876.32
  6. Step 6: Final answer
    x = 3,492.03

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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.