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Finding the Fourth Proportional to 4,108.34, 5,662.84 and 3,210.50

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Solution

The fourth proportional to 4,108.34, 5,662.84 and 3,210.50 is: 4,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.34 : 5,662.84 = 3,210.50 : x
  2. Step 2: Convert to fraction form
    4,108.34/5,662.84 = 3,210.50/x
  3. Step 3: Cross multiply
    4,108.34x = 5,662.84 × 3,210.50
  4. Step 4: Simplify right side
    4,108.34x = 18,180,547.82
  5. Step 5: Solve for x
    x = 18,180,547.82/4,108.34
  6. Step 6: Final answer
    x = 4,425.28

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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.