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Finding the Fourth Proportional to 5,707.64, 7,889.82 and 5,475.08

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Solution

The fourth proportional to 5,707.64, 7,889.82 and 5,475.08 is: 7,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.64 : 7,889.82 = 5,475.08 : x
  2. Step 2: Convert to fraction form
    5,707.64/7,889.82 = 5,475.08/x
  3. Step 3: Cross multiply
    5,707.64x = 7,889.82 × 5,475.08
  4. Step 4: Simplify right side
    5,707.64x = 43,197,395.69
  5. Step 5: Solve for x
    x = 43,197,395.69/5,707.64
  6. Step 6: Final answer
    x = 7,568.35

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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.