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Finding the Fourth Proportional to 4,345.75, 5,997.10 and 2,457.70

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Solution

The fourth proportional to 4,345.75, 5,997.10 and 2,457.70 is: 3,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.75 : 5,997.10 = 2,457.70 : x
  2. Step 2: Convert to fraction form
    4,345.75/5,997.10 = 2,457.70/x
  3. Step 3: Cross multiply
    4,345.75x = 5,997.10 × 2,457.70
  4. Step 4: Simplify right side
    4,345.75x = 14,739,060.38
  5. Step 5: Solve for x
    x = 14,739,060.38/4,345.75
  6. Step 6: Final answer
    x = 3,391.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.