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Finding the Fourth Proportional to 5,697.96, 8,547.53 and 1,999.77

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Solution

The fourth proportional to 5,697.96, 8,547.53 and 1,999.77 is: 2,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.96 : 8,547.53 = 1,999.77 : x
  2. Step 2: Convert to fraction form
    5,697.96/8,547.53 = 1,999.77/x
  3. Step 3: Cross multiply
    5,697.96x = 8,547.53 × 1,999.77
  4. Step 4: Simplify right side
    5,697.96x = 17,093,084.07
  5. Step 5: Solve for x
    x = 17,093,084.07/5,697.96
  6. Step 6: Final answer
    x = 2,999.86

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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.