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Finding the Fourth Proportional to 3,717.16, 5,575.58 and 981.16

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Solution

The fourth proportional to 3,717.16, 5,575.58 and 981.16 is: 1,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.16 : 5,575.58 = 981.16 : x
  2. Step 2: Convert to fraction form
    3,717.16/5,575.58 = 981.16/x
  3. Step 3: Cross multiply
    3,717.16x = 5,575.58 × 981.16
  4. Step 4: Simplify right side
    3,717.16x = 5,470,536.07
  5. Step 5: Solve for x
    x = 5,470,536.07/3,717.16
  6. Step 6: Final answer
    x = 1,471.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.