Home / 3,785.64-5,678.16-1,188.51

Finding the Fourth Proportional to 3,785.64, 5,678.16 and 1,188.51

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Solution

The fourth proportional to 3,785.64, 5,678.16 and 1,188.51 is: 1,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.64 : 5,678.16 = 1,188.51 : x
  2. Step 2: Convert to fraction form
    3,785.64/5,678.16 = 1,188.51/x
  3. Step 3: Cross multiply
    3,785.64x = 5,678.16 × 1,188.51
  4. Step 4: Simplify right side
    3,785.64x = 6,748,549.94
  5. Step 5: Solve for x
    x = 6,748,549.94/3,785.64
  6. Step 6: Final answer
    x = 1,782.67

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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.