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Finding the Fourth Proportional to 5,176.04, 7,144.04 and 3,407.80

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Solution

The fourth proportional to 5,176.04, 7,144.04 and 3,407.80 is: 4,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.04 : 7,144.04 = 3,407.80 : x
  2. Step 2: Convert to fraction form
    5,176.04/7,144.04 = 3,407.80/x
  3. Step 3: Cross multiply
    5,176.04x = 7,144.04 × 3,407.80
  4. Step 4: Simplify right side
    5,176.04x = 24,345,459.51
  5. Step 5: Solve for x
    x = 24,345,459.51/5,176.04
  6. Step 6: Final answer
    x = 4,703.49

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