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Finding the Fourth Proportional to 4,703.97, 6,484.53 and 3,707.28

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Solution

The fourth proportional to 4,703.97, 6,484.53 and 3,707.28 is: 5,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.97 : 6,484.53 = 3,707.28 : x
  2. Step 2: Convert to fraction form
    4,703.97/6,484.53 = 3,707.28/x
  3. Step 3: Cross multiply
    4,703.97x = 6,484.53 × 3,707.28
  4. Step 4: Simplify right side
    4,703.97x = 24,039,968.38
  5. Step 5: Solve for x
    x = 24,039,968.38/4,703.97
  6. Step 6: Final answer
    x = 5,110.57

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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.