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Finding the Fourth Proportional to 5,984.34, 8,260.25 and 4,095.21

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Solution

The fourth proportional to 5,984.34, 8,260.25 and 4,095.21 is: 5,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.34 : 8,260.25 = 4,095.21 : x
  2. Step 2: Convert to fraction form
    5,984.34/8,260.25 = 4,095.21/x
  3. Step 3: Cross multiply
    5,984.34x = 8,260.25 × 4,095.21
  4. Step 4: Simplify right side
    5,984.34x = 33,827,458.40
  5. Step 5: Solve for x
    x = 33,827,458.40/5,984.34
  6. Step 6: Final answer
    x = 5,652.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.