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Finding the Fourth Proportional to 3,597.71, 5,397.37 and 1,407.06

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Solution

The fourth proportional to 3,597.71, 5,397.37 and 1,407.06 is: 2,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.71 : 5,397.37 = 1,407.06 : x
  2. Step 2: Convert to fraction form
    3,597.71/5,397.37 = 1,407.06/x
  3. Step 3: Cross multiply
    3,597.71x = 5,397.37 × 1,407.06
  4. Step 4: Simplify right side
    3,597.71x = 7,594,419.91
  5. Step 5: Solve for x
    x = 7,594,419.91/3,597.71
  6. Step 6: Final answer
    x = 2,110.91

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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.