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Finding the Fourth Proportional to 4,133.13, 6,199.64 and 1,013.16

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Solution

The fourth proportional to 4,133.13, 6,199.64 and 1,013.16 is: 1,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.13 : 6,199.64 = 1,013.16 : x
  2. Step 2: Convert to fraction form
    4,133.13/6,199.64 = 1,013.16/x
  3. Step 3: Cross multiply
    4,133.13x = 6,199.64 × 1,013.16
  4. Step 4: Simplify right side
    4,133.13x = 6,281,214.37
  5. Step 5: Solve for x
    x = 6,281,214.37/4,133.13
  6. Step 6: Final answer
    x = 1,519.72

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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.