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Finding the Fourth Proportional to 4,892.93, 7,337.85 and 1,605.27

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Solution

The fourth proportional to 4,892.93, 7,337.85 and 1,605.27 is: 2,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.93 : 7,337.85 = 1,605.27 : x
  2. Step 2: Convert to fraction form
    4,892.93/7,337.85 = 1,605.27/x
  3. Step 3: Cross multiply
    4,892.93x = 7,337.85 × 1,605.27
  4. Step 4: Simplify right side
    4,892.93x = 11,779,230.47
  5. Step 5: Solve for x
    x = 11,779,230.47/4,892.93
  6. Step 6: Final answer
    x = 2,407.40

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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.