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Finding the Fourth Proportional to 5,802.64, 8,634.14 and 5,783.20

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Solution

The fourth proportional to 5,802.64, 8,634.14 and 5,783.20 is: 8,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.64 : 8,634.14 = 5,783.20 : x
  2. Step 2: Convert to fraction form
    5,802.64/8,634.14 = 5,783.20/x
  3. Step 3: Cross multiply
    5,802.64x = 8,634.14 × 5,783.20
  4. Step 4: Simplify right side
    5,802.64x = 49,932,958.45
  5. Step 5: Solve for x
    x = 49,932,958.45/5,802.64
  6. Step 6: Final answer
    x = 8,605.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.