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Finding the Fourth Proportional to 5,764.36, 7,955.46 and 3,407.08

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Solution

The fourth proportional to 5,764.36, 7,955.46 and 3,407.08 is: 4,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.36 : 7,955.46 = 3,407.08 : x
  2. Step 2: Convert to fraction form
    5,764.36/7,955.46 = 3,407.08/x
  3. Step 3: Cross multiply
    5,764.36x = 7,955.46 × 3,407.08
  4. Step 4: Simplify right side
    5,764.36x = 27,104,888.66
  5. Step 5: Solve for x
    x = 27,104,888.66/5,764.36
  6. Step 6: Final answer
    x = 4,702.15

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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.