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Finding the Fourth Proportional to 4,677.57, 7,017.20 and 1,345.66

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Solution

The fourth proportional to 4,677.57, 7,017.20 and 1,345.66 is: 2,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.57 : 7,017.20 = 1,345.66 : x
  2. Step 2: Convert to fraction form
    4,677.57/7,017.20 = 1,345.66/x
  3. Step 3: Cross multiply
    4,677.57x = 7,017.20 × 1,345.66
  4. Step 4: Simplify right side
    4,677.57x = 9,442,765.35
  5. Step 5: Solve for x
    x = 9,442,765.35/4,677.57
  6. Step 6: Final answer
    x = 2,018.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.