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Finding the Fourth Proportional to 4,774.65, 6,588.03 and 3,007.28

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Solution

The fourth proportional to 4,774.65, 6,588.03 and 3,007.28 is: 4,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.65 : 6,588.03 = 3,007.28 : x
  2. Step 2: Convert to fraction form
    4,774.65/6,588.03 = 3,007.28/x
  3. Step 3: Cross multiply
    4,774.65x = 6,588.03 × 3,007.28
  4. Step 4: Simplify right side
    4,774.65x = 19,812,041.55
  5. Step 5: Solve for x
    x = 19,812,041.55/4,774.65
  6. Step 6: Final answer
    x = 4,149.43

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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.