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Finding the Fourth Proportional to 5,038.29, 7,558.00 and 1,340.66

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Solution

The fourth proportional to 5,038.29, 7,558.00 and 1,340.66 is: 2,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.29 : 7,558.00 = 1,340.66 : x
  2. Step 2: Convert to fraction form
    5,038.29/7,558.00 = 1,340.66/x
  3. Step 3: Cross multiply
    5,038.29x = 7,558.00 × 1,340.66
  4. Step 4: Simplify right side
    5,038.29x = 10,132,723.82
  5. Step 5: Solve for x
    x = 10,132,723.82/5,038.29
  6. Step 6: Final answer
    x = 2,011.14

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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.