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Finding the Fourth Proportional to 3,065.60, 4,598.40 and 2,914.40

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Solution

The fourth proportional to 3,065.60, 4,598.40 and 2,914.40 is: 4,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.60 : 4,598.40 = 2,914.40 : x
  2. Step 2: Convert to fraction form
    3,065.60/4,598.40 = 2,914.40/x
  3. Step 3: Cross multiply
    3,065.60x = 4,598.40 × 2,914.40
  4. Step 4: Simplify right side
    3,065.60x = 13,401,576.96
  5. Step 5: Solve for x
    x = 13,401,576.96/3,065.60
  6. Step 6: Final answer
    x = 4,371.60

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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.