Home / 4,655.84-6,984.96-1,536.32

Finding the Fourth Proportional to 4,655.84, 6,984.96 and 1,536.32

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Solution

The fourth proportional to 4,655.84, 6,984.96 and 1,536.32 is: 2,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.84 : 6,984.96 = 1,536.32 : x
  2. Step 2: Convert to fraction form
    4,655.84/6,984.96 = 1,536.32/x
  3. Step 3: Cross multiply
    4,655.84x = 6,984.96 × 1,536.32
  4. Step 4: Simplify right side
    4,655.84x = 10,731,133.75
  5. Step 5: Solve for x
    x = 10,731,133.75/4,655.84
  6. Step 6: Final answer
    x = 2,304.88

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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.