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Finding the Fourth Proportional to 5,386.76, 8,077.54 and 1,876.69

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Solution

The fourth proportional to 5,386.76, 8,077.54 and 1,876.69 is: 2,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.76 : 8,077.54 = 1,876.69 : x
  2. Step 2: Convert to fraction form
    5,386.76/8,077.54 = 1,876.69/x
  3. Step 3: Cross multiply
    5,386.76x = 8,077.54 × 1,876.69
  4. Step 4: Simplify right side
    5,386.76x = 15,159,002.03
  5. Step 5: Solve for x
    x = 15,159,002.03/5,386.76
  6. Step 6: Final answer
    x = 2,814.12

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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.