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Finding the Fourth Proportional to 5,973.84, 8,960.96 and 2,854.20

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Solution

The fourth proportional to 5,973.84, 8,960.96 and 2,854.20 is: 4,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.84 : 8,960.96 = 2,854.20 : x
  2. Step 2: Convert to fraction form
    5,973.84/8,960.96 = 2,854.20/x
  3. Step 3: Cross multiply
    5,973.84x = 8,960.96 × 2,854.20
  4. Step 4: Simplify right side
    5,973.84x = 25,576,372.03
  5. Step 5: Solve for x
    x = 25,576,372.03/5,973.84
  6. Step 6: Final answer
    x = 4,281.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.