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Finding the Fourth Proportional to 6,154.80, 9,232.20 and 2,457.60

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Solution

The fourth proportional to 6,154.80, 9,232.20 and 2,457.60 is: 3,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.80 : 9,232.20 = 2,457.60 : x
  2. Step 2: Convert to fraction form
    6,154.80/9,232.20 = 2,457.60/x
  3. Step 3: Cross multiply
    6,154.80x = 9,232.20 × 2,457.60
  4. Step 4: Simplify right side
    6,154.80x = 22,689,054.72
  5. Step 5: Solve for x
    x = 22,689,054.72/6,154.80
  6. Step 6: Final answer
    x = 3,686.40

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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.