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Finding the Fourth Proportional to 4,651.64, 6,416.06 and 2,972.30

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Solution

The fourth proportional to 4,651.64, 6,416.06 and 2,972.30 is: 4,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.64 : 6,416.06 = 2,972.30 : x
  2. Step 2: Convert to fraction form
    4,651.64/6,416.06 = 2,972.30/x
  3. Step 3: Cross multiply
    4,651.64x = 6,416.06 × 2,972.30
  4. Step 4: Simplify right side
    4,651.64x = 19,070,423.06
  5. Step 5: Solve for x
    x = 19,070,423.06/4,651.64
  6. Step 6: Final answer
    x = 4,099.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.