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Finding the Fourth Proportional to 6,098.64, 8,415.90 and 3,410.01

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Solution

The fourth proportional to 6,098.64, 8,415.90 and 3,410.01 is: 4,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.64 : 8,415.90 = 3,410.01 : x
  2. Step 2: Convert to fraction form
    6,098.64/8,415.90 = 3,410.01/x
  3. Step 3: Cross multiply
    6,098.64x = 8,415.90 × 3,410.01
  4. Step 4: Simplify right side
    6,098.64x = 28,698,303.16
  5. Step 5: Solve for x
    x = 28,698,303.16/6,098.64
  6. Step 6: Final answer
    x = 4,705.69

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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.