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Finding the Fourth Proportional to 5,142.87, 7,097.18 and 2,904.77

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Solution

The fourth proportional to 5,142.87, 7,097.18 and 2,904.77 is: 4,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.87 : 7,097.18 = 2,904.77 : x
  2. Step 2: Convert to fraction form
    5,142.87/7,097.18 = 2,904.77/x
  3. Step 3: Cross multiply
    5,142.87x = 7,097.18 × 2,904.77
  4. Step 4: Simplify right side
    5,142.87x = 20,615,675.55
  5. Step 5: Solve for x
    x = 20,615,675.55/5,142.87
  6. Step 6: Final answer
    x = 4,008.60

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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.