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Finding the Fourth Proportional to 5,705.64, 7,873.74 and 4,006.53

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Solution

The fourth proportional to 5,705.64, 7,873.74 and 4,006.53 is: 5,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.64 : 7,873.74 = 4,006.53 : x
  2. Step 2: Convert to fraction form
    5,705.64/7,873.74 = 4,006.53/x
  3. Step 3: Cross multiply
    5,705.64x = 7,873.74 × 4,006.53
  4. Step 4: Simplify right side
    5,705.64x = 31,546,375.52
  5. Step 5: Solve for x
    x = 31,546,375.52/5,705.64
  6. Step 6: Final answer
    x = 5,528.98

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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.