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Finding the Fourth Proportional to 4,663.85, 6,995.54 and 1,741.92

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Solution

The fourth proportional to 4,663.85, 6,995.54 and 1,741.92 is: 2,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.85 : 6,995.54 = 1,741.92 : x
  2. Step 2: Convert to fraction form
    4,663.85/6,995.54 = 1,741.92/x
  3. Step 3: Cross multiply
    4,663.85x = 6,995.54 × 1,741.92
  4. Step 4: Simplify right side
    4,663.85x = 12,185,683.61
  5. Step 5: Solve for x
    x = 12,185,683.61/4,663.85
  6. Step 6: Final answer
    x = 2,612.80

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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.