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Finding the Fourth Proportional to 5,103.57, 7,037.58 and 4,039.64

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Solution

The fourth proportional to 5,103.57, 7,037.58 and 4,039.64 is: 5,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.57 : 7,037.58 = 4,039.64 : x
  2. Step 2: Convert to fraction form
    5,103.57/7,037.58 = 4,039.64/x
  3. Step 3: Cross multiply
    5,103.57x = 7,037.58 × 4,039.64
  4. Step 4: Simplify right side
    5,103.57x = 28,429,296.02
  5. Step 5: Solve for x
    x = 28,429,296.02/5,103.57
  6. Step 6: Final answer
    x = 5,570.47

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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.