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Finding the Fourth Proportional to 4,158.44, 6,197.13 and 4,038.50

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Solution

The fourth proportional to 4,158.44, 6,197.13 and 4,038.50 is: 6,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.44 : 6,197.13 = 4,038.50 : x
  2. Step 2: Convert to fraction form
    4,158.44/6,197.13 = 4,038.50/x
  3. Step 3: Cross multiply
    4,158.44x = 6,197.13 × 4,038.50
  4. Step 4: Simplify right side
    4,158.44x = 25,027,109.51
  5. Step 5: Solve for x
    x = 25,027,109.51/4,158.44
  6. Step 6: Final answer
    x = 6,018.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.