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Finding the Fourth Proportional to 4,742.90, 7,111.91 and 3,007.88

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Solution

The fourth proportional to 4,742.90, 7,111.91 and 3,007.88 is: 4,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.90 : 7,111.91 = 3,007.88 : x
  2. Step 2: Convert to fraction form
    4,742.90/7,111.91 = 3,007.88/x
  3. Step 3: Cross multiply
    4,742.90x = 7,111.91 × 3,007.88
  4. Step 4: Simplify right side
    4,742.90x = 21,391,743.81
  5. Step 5: Solve for x
    x = 21,391,743.81/4,742.90
  6. Step 6: Final answer
    x = 4,510.27

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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.