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Finding the Fourth Proportional to 3,386.07, 5,077.77 and 1,304.93

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Solution

The fourth proportional to 3,386.07, 5,077.77 and 1,304.93 is: 1,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.07 : 5,077.77 = 1,304.93 : x
  2. Step 2: Convert to fraction form
    3,386.07/5,077.77 = 1,304.93/x
  3. Step 3: Cross multiply
    3,386.07x = 5,077.77 × 1,304.93
  4. Step 4: Simplify right side
    3,386.07x = 6,626,109.02
  5. Step 5: Solve for x
    x = 6,626,109.02/3,386.07
  6. Step 6: Final answer
    x = 1,956.87

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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.