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Finding the Fourth Proportional to 4,666.36, 7,001.16 and 2,071.12

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Solution

The fourth proportional to 4,666.36, 7,001.16 and 2,071.12 is: 3,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.36 : 7,001.16 = 2,071.12 : x
  2. Step 2: Convert to fraction form
    4,666.36/7,001.16 = 2,071.12/x
  3. Step 3: Cross multiply
    4,666.36x = 7,001.16 × 2,071.12
  4. Step 4: Simplify right side
    4,666.36x = 14,500,242.50
  5. Step 5: Solve for x
    x = 14,500,242.50/4,666.36
  6. Step 6: Final answer
    x = 3,107.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.