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Finding the Fourth Proportional to 4,590.49, 6,883.20 and 1,427.07

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Solution

The fourth proportional to 4,590.49, 6,883.20 and 1,427.07 is: 2,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.49 : 6,883.20 = 1,427.07 : x
  2. Step 2: Convert to fraction form
    4,590.49/6,883.20 = 1,427.07/x
  3. Step 3: Cross multiply
    4,590.49x = 6,883.20 × 1,427.07
  4. Step 4: Simplify right side
    4,590.49x = 9,822,808.22
  5. Step 5: Solve for x
    x = 9,822,808.22/4,590.49
  6. Step 6: Final answer
    x = 2,139.82

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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.