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Finding the Fourth Proportional to 6,129.40, 8,455.68 and 4,140.60

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Solution

The fourth proportional to 6,129.40, 8,455.68 and 4,140.60 is: 5,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.40 : 8,455.68 = 4,140.60 : x
  2. Step 2: Convert to fraction form
    6,129.40/8,455.68 = 4,140.60/x
  3. Step 3: Cross multiply
    6,129.40x = 8,455.68 × 4,140.60
  4. Step 4: Simplify right side
    6,129.40x = 35,011,588.61
  5. Step 5: Solve for x
    x = 35,011,588.61/6,129.40
  6. Step 6: Final answer
    x = 5,712.07

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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.