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Finding the Fourth Proportional to 4,140.90, 5,784.30 and 4,140.90

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Solution

The fourth proportional to 4,140.90, 5,784.30 and 4,140.90 is: 5,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.90 : 5,784.30 = 4,140.90 : x
  2. Step 2: Convert to fraction form
    4,140.90/5,784.30 = 4,140.90/x
  3. Step 3: Cross multiply
    4,140.90x = 5,784.30 × 4,140.90
  4. Step 4: Simplify right side
    4,140.90x = 23,952,207.87
  5. Step 5: Solve for x
    x = 23,952,207.87/4,140.90
  6. Step 6: Final answer
    x = 5,784.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.