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Finding the Fourth Proportional to 5,648.51, 7,795.23 and 3,130.92

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Solution

The fourth proportional to 5,648.51, 7,795.23 and 3,130.92 is: 4,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.51 : 7,795.23 = 3,130.92 : x
  2. Step 2: Convert to fraction form
    5,648.51/7,795.23 = 3,130.92/x
  3. Step 3: Cross multiply
    5,648.51x = 7,795.23 × 3,130.92
  4. Step 4: Simplify right side
    5,648.51x = 24,406,241.51
  5. Step 5: Solve for x
    x = 24,406,241.51/5,648.51
  6. Step 6: Final answer
    x = 4,320.83

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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.