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Finding the Fourth Proportional to 5,245.04, 7,862.70 and 1,779.86

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Solution

The fourth proportional to 5,245.04, 7,862.70 and 1,779.86 is: 2,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.04 : 7,862.70 = 1,779.86 : x
  2. Step 2: Convert to fraction form
    5,245.04/7,862.70 = 1,779.86/x
  3. Step 3: Cross multiply
    5,245.04x = 7,862.70 × 1,779.86
  4. Step 4: Simplify right side
    5,245.04x = 13,994,505.22
  5. Step 5: Solve for x
    x = 13,994,505.22/5,245.04
  6. Step 6: Final answer
    x = 2,668.14

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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.