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Finding the Fourth Proportional to 4,655.43, 6,984.54 and 1,368.63

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Solution

The fourth proportional to 4,655.43, 6,984.54 and 1,368.63 is: 2,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.43 : 6,984.54 = 1,368.63 : x
  2. Step 2: Convert to fraction form
    4,655.43/6,984.54 = 1,368.63/x
  3. Step 3: Cross multiply
    4,655.43x = 6,984.54 × 1,368.63
  4. Step 4: Simplify right side
    4,655.43x = 9,559,250.98
  5. Step 5: Solve for x
    x = 9,559,250.98/4,655.43
  6. Step 6: Final answer
    x = 2,053.36

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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.