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Finding the Fourth Proportional to 3,212.57, 4,818.85 and 904.07

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Solution

The fourth proportional to 3,212.57, 4,818.85 and 904.07 is: 1,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.57 : 4,818.85 = 904.07 : x
  2. Step 2: Convert to fraction form
    3,212.57/4,818.85 = 904.07/x
  3. Step 3: Cross multiply
    3,212.57x = 4,818.85 × 904.07
  4. Step 4: Simplify right side
    3,212.57x = 4,356,549.10
  5. Step 5: Solve for x
    x = 4,356,549.10/3,212.57
  6. Step 6: Final answer
    x = 1,356.10

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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.