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Finding the Fourth Proportional to 3,466, 5,199 and 1,386.93

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Solution

The fourth proportional to 3,466, 5,199 and 1,386.93 is: 2,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466 : 5,199 = 1,386.93 : x
  2. Step 2: Convert to fraction form
    3,466/5,199 = 1,386.93/x
  3. Step 3: Cross multiply
    3,466x = 5,199 × 1,386.93
  4. Step 4: Simplify right side
    3,466x = 7,210,649.07
  5. Step 5: Solve for x
    x = 7,210,649.07/3,466
  6. Step 6: Final answer
    x = 2,080.40

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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.