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Finding the Fourth Proportional to 6,151.64, 8,484.89 and 4,106.51

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Solution

The fourth proportional to 6,151.64, 8,484.89 and 4,106.51 is: 5,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.64 : 8,484.89 = 4,106.51 : x
  2. Step 2: Convert to fraction form
    6,151.64/8,484.89 = 4,106.51/x
  3. Step 3: Cross multiply
    6,151.64x = 8,484.89 × 4,106.51
  4. Step 4: Simplify right side
    6,151.64x = 34,843,265.10
  5. Step 5: Solve for x
    x = 34,843,265.10/6,151.64
  6. Step 6: Final answer
    x = 5,664.06

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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.