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Finding the Fourth Proportional to 6,419.46, 8,854.10 and 4,059.32

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Solution

The fourth proportional to 6,419.46, 8,854.10 and 4,059.32 is: 5,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.46 : 8,854.10 = 4,059.32 : x
  2. Step 2: Convert to fraction form
    6,419.46/8,854.10 = 4,059.32/x
  3. Step 3: Cross multiply
    6,419.46x = 8,854.10 × 4,059.32
  4. Step 4: Simplify right side
    6,419.46x = 35,941,625.21
  5. Step 5: Solve for x
    x = 35,941,625.21/6,419.46
  6. Step 6: Final answer
    x = 5,598.85

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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.