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Finding the Fourth Proportional to 5,485.86, 8,229.33 and 1,590.84

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Solution

The fourth proportional to 5,485.86, 8,229.33 and 1,590.84 is: 2,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485.86 : 8,229.33 = 1,590.84 : x
  2. Step 2: Convert to fraction form
    5,485.86/8,229.33 = 1,590.84/x
  3. Step 3: Cross multiply
    5,485.86x = 8,229.33 × 1,590.84
  4. Step 4: Simplify right side
    5,485.86x = 13,091,547.34
  5. Step 5: Solve for x
    x = 13,091,547.34/5,485.86
  6. Step 6: Final answer
    x = 2,386.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.