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Finding the Fourth Proportional to 5,758.74, 8,638.12 and 1,598.97

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Solution

The fourth proportional to 5,758.74, 8,638.12 and 1,598.97 is: 2,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.74 : 8,638.12 = 1,598.97 : x
  2. Step 2: Convert to fraction form
    5,758.74/8,638.12 = 1,598.97/x
  3. Step 3: Cross multiply
    5,758.74x = 8,638.12 × 1,598.97
  4. Step 4: Simplify right side
    5,758.74x = 13,812,094.74
  5. Step 5: Solve for x
    x = 13,812,094.74/5,758.74
  6. Step 6: Final answer
    x = 2,398.46

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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.