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Finding the Fourth Proportional to 4,669.84, 7,004.76 and 2,072.08

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Solution

The fourth proportional to 4,669.84, 7,004.76 and 2,072.08 is: 3,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.84 : 7,004.76 = 2,072.08 : x
  2. Step 2: Convert to fraction form
    4,669.84/7,004.76 = 2,072.08/x
  3. Step 3: Cross multiply
    4,669.84x = 7,004.76 × 2,072.08
  4. Step 4: Simplify right side
    4,669.84x = 14,514,423.10
  5. Step 5: Solve for x
    x = 14,514,423.10/4,669.84
  6. Step 6: Final answer
    x = 3,108.12

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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.