Home / 3,723.16-5,585.84-1,532

Finding the Fourth Proportional to 3,723.16, 5,585.84 and 1,532

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Solution

The fourth proportional to 3,723.16, 5,585.84 and 1,532 is: 2,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.16 : 5,585.84 = 1,532 : x
  2. Step 2: Convert to fraction form
    3,723.16/5,585.84 = 1,532/x
  3. Step 3: Cross multiply
    3,723.16x = 5,585.84 × 1,532
  4. Step 4: Simplify right side
    3,723.16x = 8,557,506.88
  5. Step 5: Solve for x
    x = 8,557,506.88/3,723.16
  6. Step 6: Final answer
    x = 2,298.45

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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.