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Finding the Fourth Proportional to 5,798.96, 8,699.32 and 1,902.44

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Solution

The fourth proportional to 5,798.96, 8,699.32 and 1,902.44 is: 2,853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.96 : 8,699.32 = 1,902.44 : x
  2. Step 2: Convert to fraction form
    5,798.96/8,699.32 = 1,902.44/x
  3. Step 3: Cross multiply
    5,798.96x = 8,699.32 × 1,902.44
  4. Step 4: Simplify right side
    5,798.96x = 16,549,934.34
  5. Step 5: Solve for x
    x = 16,549,934.34/5,798.96
  6. Step 6: Final answer
    x = 2,853.95

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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.