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Finding the Fourth Proportional to 4,594.72, 6,338.68 and 2,825.28

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Solution

The fourth proportional to 4,594.72, 6,338.68 and 2,825.28 is: 3,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.72 : 6,338.68 = 2,825.28 : x
  2. Step 2: Convert to fraction form
    4,594.72/6,338.68 = 2,825.28/x
  3. Step 3: Cross multiply
    4,594.72x = 6,338.68 × 2,825.28
  4. Step 4: Simplify right side
    4,594.72x = 17,908,545.83
  5. Step 5: Solve for x
    x = 17,908,545.83/4,594.72
  6. Step 6: Final answer
    x = 3,897.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.