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Finding the Fourth Proportional to 3,497.36, 5,246.06 and 1,417.40

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Solution

The fourth proportional to 3,497.36, 5,246.06 and 1,417.40 is: 2,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.36 : 5,246.06 = 1,417.40 : x
  2. Step 2: Convert to fraction form
    3,497.36/5,246.06 = 1,417.40/x
  3. Step 3: Cross multiply
    3,497.36x = 5,246.06 × 1,417.40
  4. Step 4: Simplify right side
    3,497.36x = 7,435,781.31
  5. Step 5: Solve for x
    x = 7,435,781.31/3,497.36
  6. Step 6: Final answer
    x = 2,126.11

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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.