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Finding the Fourth Proportional to 4,703.51, 6,489.53 and 3,705.69

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Solution

The fourth proportional to 4,703.51, 6,489.53 and 3,705.69 is: 5,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.51 : 6,489.53 = 3,705.69 : x
  2. Step 2: Convert to fraction form
    4,703.51/6,489.53 = 3,705.69/x
  3. Step 3: Cross multiply
    4,703.51x = 6,489.53 × 3,705.69
  4. Step 4: Simplify right side
    4,703.51x = 24,048,186.43
  5. Step 5: Solve for x
    x = 24,048,186.43/4,703.51
  6. Step 6: Final answer
    x = 5,112.82

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1.5x scale

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.