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Finding the Fourth Proportional to 3,946.61, 5,920.24 and 1,314.02

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Solution

The fourth proportional to 3,946.61, 5,920.24 and 1,314.02 is: 1,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.61 : 5,920.24 = 1,314.02 : x
  2. Step 2: Convert to fraction form
    3,946.61/5,920.24 = 1,314.02/x
  3. Step 3: Cross multiply
    3,946.61x = 5,920.24 × 1,314.02
  4. Step 4: Simplify right side
    3,946.61x = 7,779,325.28
  5. Step 5: Solve for x
    x = 7,779,325.28/3,946.61
  6. Step 6: Final answer
    x = 1,971.14

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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.