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Finding the Fourth Proportional to 3,410.88, 4,707.52 and 2,085.34

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Solution

The fourth proportional to 3,410.88, 4,707.52 and 2,085.34 is: 2,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.88 : 4,707.52 = 2,085.34 : x
  2. Step 2: Convert to fraction form
    3,410.88/4,707.52 = 2,085.34/x
  3. Step 3: Cross multiply
    3,410.88x = 4,707.52 × 2,085.34
  4. Step 4: Simplify right side
    3,410.88x = 9,816,779.76
  5. Step 5: Solve for x
    x = 9,816,779.76/3,410.88
  6. Step 6: Final answer
    x = 2,878.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.