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Finding the Fourth Proportional to 4,763.10, 6,564.06 and 3,434.44

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Solution

The fourth proportional to 4,763.10, 6,564.06 and 3,434.44 is: 4,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.10 : 6,564.06 = 3,434.44 : x
  2. Step 2: Convert to fraction form
    4,763.10/6,564.06 = 3,434.44/x
  3. Step 3: Cross multiply
    4,763.10x = 6,564.06 × 3,434.44
  4. Step 4: Simplify right side
    4,763.10x = 22,543,870.23
  5. Step 5: Solve for x
    x = 22,543,870.23/4,763.10
  6. Step 6: Final answer
    x = 4,733.02

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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.