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Finding the Fourth Proportional to 4,655.20, 6,966.60 and 4,266.40

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Solution

The fourth proportional to 4,655.20, 6,966.60 and 4,266.40 is: 6,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.20 : 6,966.60 = 4,266.40 : x
  2. Step 2: Convert to fraction form
    4,655.20/6,966.60 = 4,266.40/x
  3. Step 3: Cross multiply
    4,655.20x = 6,966.60 × 4,266.40
  4. Step 4: Simplify right side
    4,655.20x = 29,722,302.24
  5. Step 5: Solve for x
    x = 29,722,302.24/4,655.20
  6. Step 6: Final answer
    x = 6,384.75

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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.