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Finding the Fourth Proportional to 3,779.02, 5,669.88 and 1,313.74

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Solution

The fourth proportional to 3,779.02, 5,669.88 and 1,313.74 is: 1,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.02 : 5,669.88 = 1,313.74 : x
  2. Step 2: Convert to fraction form
    3,779.02/5,669.88 = 1,313.74/x
  3. Step 3: Cross multiply
    3,779.02x = 5,669.88 × 1,313.74
  4. Step 4: Simplify right side
    3,779.02x = 7,448,748.15
  5. Step 5: Solve for x
    x = 7,448,748.15/3,779.02
  6. Step 6: Final answer
    x = 1,971.08

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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.