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Finding the Fourth Proportional to 3,085.29, 4,627.28 and 977.09

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Solution

The fourth proportional to 3,085.29, 4,627.28 and 977.09 is: 1,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.29 : 4,627.28 = 977.09 : x
  2. Step 2: Convert to fraction form
    3,085.29/4,627.28 = 977.09/x
  3. Step 3: Cross multiply
    3,085.29x = 4,627.28 × 977.09
  4. Step 4: Simplify right side
    3,085.29x = 4,521,242.83
  5. Step 5: Solve for x
    x = 4,521,242.83/3,085.29
  6. Step 6: Final answer
    x = 1,465.42

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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.