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Finding the Fourth Proportional to 3,887.13, 5,830.56 and 1,290

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Solution

The fourth proportional to 3,887.13, 5,830.56 and 1,290 is: 1,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.13 : 5,830.56 = 1,290 : x
  2. Step 2: Convert to fraction form
    3,887.13/5,830.56 = 1,290/x
  3. Step 3: Cross multiply
    3,887.13x = 5,830.56 × 1,290
  4. Step 4: Simplify right side
    3,887.13x = 7,521,422.40
  5. Step 5: Solve for x
    x = 7,521,422.40/3,887.13
  6. Step 6: Final answer
    x = 1,934.96

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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.