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Finding the Fourth Proportional to 5,598.64, 8,390.60 and 4,200.96

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Solution

The fourth proportional to 5,598.64, 8,390.60 and 4,200.96 is: 6,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.64 : 8,390.60 = 4,200.96 : x
  2. Step 2: Convert to fraction form
    5,598.64/8,390.60 = 4,200.96/x
  3. Step 3: Cross multiply
    5,598.64x = 8,390.60 × 4,200.96
  4. Step 4: Simplify right side
    5,598.64x = 35,248,574.98
  5. Step 5: Solve for x
    x = 35,248,574.98/5,598.64
  6. Step 6: Final answer
    x = 6,295.92

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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.