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Finding the Fourth Proportional to 5,893.64, 8,130.10 and 3,534.28

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Solution

The fourth proportional to 5,893.64, 8,130.10 and 3,534.28 is: 4,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.64 : 8,130.10 = 3,534.28 : x
  2. Step 2: Convert to fraction form
    5,893.64/8,130.10 = 3,534.28/x
  3. Step 3: Cross multiply
    5,893.64x = 8,130.10 × 3,534.28
  4. Step 4: Simplify right side
    5,893.64x = 28,734,049.83
  5. Step 5: Solve for x
    x = 28,734,049.83/5,893.64
  6. Step 6: Final answer
    x = 4,875.43

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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.