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Finding the Fourth Proportional to 4,730.55, 6,532.29 and 2,965.20

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Solution

The fourth proportional to 4,730.55, 6,532.29 and 2,965.20 is: 4,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.55 : 6,532.29 = 2,965.20 : x
  2. Step 2: Convert to fraction form
    4,730.55/6,532.29 = 2,965.20/x
  3. Step 3: Cross multiply
    4,730.55x = 6,532.29 × 2,965.20
  4. Step 4: Simplify right side
    4,730.55x = 19,369,546.31
  5. Step 5: Solve for x
    x = 19,369,546.31/4,730.55
  6. Step 6: Final answer
    x = 4,094.57

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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.