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Finding the Fourth Proportional to 4,598.40, 6,881.40 and 3,140.40

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Solution

The fourth proportional to 4,598.40, 6,881.40 and 3,140.40 is: 4,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.40 : 6,881.40 = 3,140.40 : x
  2. Step 2: Convert to fraction form
    4,598.40/6,881.40 = 3,140.40/x
  3. Step 3: Cross multiply
    4,598.40x = 6,881.40 × 3,140.40
  4. Step 4: Simplify right side
    4,598.40x = 21,610,348.56
  5. Step 5: Solve for x
    x = 21,610,348.56/4,598.40
  6. Step 6: Final answer
    x = 4,699.54

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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.