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Finding the Fourth Proportional to 5,897.05, 8,138 and 3,244.40

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Solution

The fourth proportional to 5,897.05, 8,138 and 3,244.40 is: 4,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.05 : 8,138 = 3,244.40 : x
  2. Step 2: Convert to fraction form
    5,897.05/8,138 = 3,244.40/x
  3. Step 3: Cross multiply
    5,897.05x = 8,138 × 3,244.40
  4. Step 4: Simplify right side
    5,897.05x = 26,402,927.20
  5. Step 5: Solve for x
    x = 26,402,927.20/5,897.05
  6. Step 6: Final answer
    x = 4,477.31

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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.