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Finding the Fourth Proportional to 6,129.94, 8,459.31 and 3,477.35

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Solution

The fourth proportional to 6,129.94, 8,459.31 and 3,477.35 is: 4,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.94 : 8,459.31 = 3,477.35 : x
  2. Step 2: Convert to fraction form
    6,129.94/8,459.31 = 3,477.35/x
  3. Step 3: Cross multiply
    6,129.94x = 8,459.31 × 3,477.35
  4. Step 4: Simplify right side
    6,129.94x = 29,415,981.63
  5. Step 5: Solve for x
    x = 29,415,981.63/6,129.94
  6. Step 6: Final answer
    x = 4,798.74

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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.