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Finding the Fourth Proportional to 4,677.52, 7,017.46 and 1,390.62

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Solution

The fourth proportional to 4,677.52, 7,017.46 and 1,390.62 is: 2,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.52 : 7,017.46 = 1,390.62 : x
  2. Step 2: Convert to fraction form
    4,677.52/7,017.46 = 1,390.62/x
  3. Step 3: Cross multiply
    4,677.52x = 7,017.46 × 1,390.62
  4. Step 4: Simplify right side
    4,677.52x = 9,758,607.50
  5. Step 5: Solve for x
    x = 9,758,607.50/4,677.52
  6. Step 6: Final answer
    x = 2,086.28

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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.