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Finding the Fourth Proportional to 5,142.60, 7,703.62 and 2,365.47

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Solution

The fourth proportional to 5,142.60, 7,703.62 and 2,365.47 is: 3,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.60 : 7,703.62 = 2,365.47 : x
  2. Step 2: Convert to fraction form
    5,142.60/7,703.62 = 2,365.47/x
  3. Step 3: Cross multiply
    5,142.60x = 7,703.62 × 2,365.47
  4. Step 4: Simplify right side
    5,142.60x = 18,222,643.48
  5. Step 5: Solve for x
    x = 18,222,643.48/5,142.60
  6. Step 6: Final answer
    x = 3,543.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.