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Finding the Fourth Proportional to 5,802.63, 8,634.15 and 5,783.19

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Solution

The fourth proportional to 5,802.63, 8,634.15 and 5,783.19 is: 8,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.63 : 8,634.15 = 5,783.19 : x
  2. Step 2: Convert to fraction form
    5,802.63/8,634.15 = 5,783.19/x
  3. Step 3: Cross multiply
    5,802.63x = 8,634.15 × 5,783.19
  4. Step 4: Simplify right side
    5,802.63x = 49,932,929.94
  5. Step 5: Solve for x
    x = 49,932,929.94/5,802.63
  6. Step 6: Final answer
    x = 8,605.22

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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.