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Finding the Fourth Proportional to 5,703.65, 7,840.80 and 4,904.03

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Solution

The fourth proportional to 5,703.65, 7,840.80 and 4,904.03 is: 6,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.65 : 7,840.80 = 4,904.03 : x
  2. Step 2: Convert to fraction form
    5,703.65/7,840.80 = 4,904.03/x
  3. Step 3: Cross multiply
    5,703.65x = 7,840.80 × 4,904.03
  4. Step 4: Simplify right side
    5,703.65x = 38,451,479.22
  5. Step 5: Solve for x
    x = 38,451,479.22/5,703.65
  6. Step 6: Final answer
    x = 6,741.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.