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Finding the Fourth Proportional to 4,666.42, 6,440.54 and 2,678.27

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Solution

The fourth proportional to 4,666.42, 6,440.54 and 2,678.27 is: 3,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.42 : 6,440.54 = 2,678.27 : x
  2. Step 2: Convert to fraction form
    4,666.42/6,440.54 = 2,678.27/x
  3. Step 3: Cross multiply
    4,666.42x = 6,440.54 × 2,678.27
  4. Step 4: Simplify right side
    4,666.42x = 17,249,505.07
  5. Step 5: Solve for x
    x = 17,249,505.07/4,666.42
  6. Step 6: Final answer
    x = 3,696.52

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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.