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Finding the Fourth Proportional to 4,647.72, 6,973.65 and 2,310.06

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Solution

The fourth proportional to 4,647.72, 6,973.65 and 2,310.06 is: 3,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.72 : 6,973.65 = 2,310.06 : x
  2. Step 2: Convert to fraction form
    4,647.72/6,973.65 = 2,310.06/x
  3. Step 3: Cross multiply
    4,647.72x = 6,973.65 × 2,310.06
  4. Step 4: Simplify right side
    4,647.72x = 16,109,549.92
  5. Step 5: Solve for x
    x = 16,109,549.92/4,647.72
  6. Step 6: Final answer
    x = 3,466.12

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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.