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Finding the Fourth Proportional to 4,810.05, 7,214.16 and 1,689.32

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Solution

The fourth proportional to 4,810.05, 7,214.16 and 1,689.32 is: 2,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.05 : 7,214.16 = 1,689.32 : x
  2. Step 2: Convert to fraction form
    4,810.05/7,214.16 = 1,689.32/x
  3. Step 3: Cross multiply
    4,810.05x = 7,214.16 × 1,689.32
  4. Step 4: Simplify right side
    4,810.05x = 12,187,042.81
  5. Step 5: Solve for x
    x = 12,187,042.81/4,810.05
  6. Step 6: Final answer
    x = 2,533.66

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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.