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Finding the Fourth Proportional to 4,005.13, 6,007.01 and 1,538.68

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Solution

The fourth proportional to 4,005.13, 6,007.01 and 1,538.68 is: 2,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.13 : 6,007.01 = 1,538.68 : x
  2. Step 2: Convert to fraction form
    4,005.13/6,007.01 = 1,538.68/x
  3. Step 3: Cross multiply
    4,005.13x = 6,007.01 × 1,538.68
  4. Step 4: Simplify right side
    4,005.13x = 9,242,863.35
  5. Step 5: Solve for x
    x = 9,242,863.35/4,005.13
  6. Step 6: Final answer
    x = 2,307.76

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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.