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Finding the Fourth Proportional to 3,590.16, 5,384.56 and 957.68

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Solution

The fourth proportional to 3,590.16, 5,384.56 and 957.68 is: 1,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.16 : 5,384.56 = 957.68 : x
  2. Step 2: Convert to fraction form
    3,590.16/5,384.56 = 957.68/x
  3. Step 3: Cross multiply
    3,590.16x = 5,384.56 × 957.68
  4. Step 4: Simplify right side
    3,590.16x = 5,156,685.42
  5. Step 5: Solve for x
    x = 5,156,685.42/3,590.16
  6. Step 6: Final answer
    x = 1,436.34

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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.