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Finding the Fourth Proportional to 5,094.58, 7,024.83 and 3,203.85

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Solution

The fourth proportional to 5,094.58, 7,024.83 and 3,203.85 is: 4,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.58 : 7,024.83 = 3,203.85 : x
  2. Step 2: Convert to fraction form
    5,094.58/7,024.83 = 3,203.85/x
  3. Step 3: Cross multiply
    5,094.58x = 7,024.83 × 3,203.85
  4. Step 4: Simplify right side
    5,094.58x = 22,506,485.58
  5. Step 5: Solve for x
    x = 22,506,485.58/5,094.58
  6. Step 6: Final answer
    x = 4,417.74

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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.