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Finding the Fourth Proportional to 4,646.65, 6,409.46 and 2,756.90

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Solution

The fourth proportional to 4,646.65, 6,409.46 and 2,756.90 is: 3,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.65 : 6,409.46 = 2,756.90 : x
  2. Step 2: Convert to fraction form
    4,646.65/6,409.46 = 2,756.90/x
  3. Step 3: Cross multiply
    4,646.65x = 6,409.46 × 2,756.90
  4. Step 4: Simplify right side
    4,646.65x = 17,670,208.23
  5. Step 5: Solve for x
    x = 17,670,208.23/4,646.65
  6. Step 6: Final answer
    x = 3,802.78

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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.