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Finding the Fourth Proportional to 5,705.40, 8,558.10 and 5,381.40

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Solution

The fourth proportional to 5,705.40, 8,558.10 and 5,381.40 is: 8,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.40 : 8,558.10 = 5,381.40 : x
  2. Step 2: Convert to fraction form
    5,705.40/8,558.10 = 5,381.40/x
  3. Step 3: Cross multiply
    5,705.40x = 8,558.10 × 5,381.40
  4. Step 4: Simplify right side
    5,705.40x = 46,054,559.34
  5. Step 5: Solve for x
    x = 46,054,559.34/5,705.40
  6. Step 6: Final answer
    x = 8,072.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.