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Finding the Fourth Proportional to 5,683.01, 7,841.84 and 3,165.00

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Solution

The fourth proportional to 5,683.01, 7,841.84 and 3,165.00 is: 4,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.01 : 7,841.84 = 3,165.00 : x
  2. Step 2: Convert to fraction form
    5,683.01/7,841.84 = 3,165.00/x
  3. Step 3: Cross multiply
    5,683.01x = 7,841.84 × 3,165.00
  4. Step 4: Simplify right side
    5,683.01x = 24,819,409.32
  5. Step 5: Solve for x
    x = 24,819,409.32/5,683.01
  6. Step 6: Final answer
    x = 4,367.30

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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.