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Finding the Fourth Proportional to 5,701.59, 7,873.62 and 5,390.97

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Solution

The fourth proportional to 5,701.59, 7,873.62 and 5,390.97 is: 7,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.59 : 7,873.62 = 5,390.97 : x
  2. Step 2: Convert to fraction form
    5,701.59/7,873.62 = 5,390.97/x
  3. Step 3: Cross multiply
    5,701.59x = 7,873.62 × 5,390.97
  4. Step 4: Simplify right side
    5,701.59x = 42,446,409.84
  5. Step 5: Solve for x
    x = 42,446,409.84/5,701.59
  6. Step 6: Final answer
    x = 7,444.67

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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.