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Finding the Fourth Proportional to 4,761, 6,570.18 and 2,665.17

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Solution

The fourth proportional to 4,761, 6,570.18 and 2,665.17 is: 3,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761 : 6,570.18 = 2,665.17 : x
  2. Step 2: Convert to fraction form
    4,761/6,570.18 = 2,665.17/x
  3. Step 3: Cross multiply
    4,761x = 6,570.18 × 2,665.17
  4. Step 4: Simplify right side
    4,761x = 17,510,646.63
  5. Step 5: Solve for x
    x = 17,510,646.63/4,761
  6. Step 6: Final answer
    x = 3,677.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.