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Finding the Fourth Proportional to 5,925.51, 8,874.81 and 4,178.34

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Solution

The fourth proportional to 5,925.51, 8,874.81 and 4,178.34 is: 6,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.51 : 8,874.81 = 4,178.34 : x
  2. Step 2: Convert to fraction form
    5,925.51/8,874.81 = 4,178.34/x
  3. Step 3: Cross multiply
    5,925.51x = 8,874.81 × 4,178.34
  4. Step 4: Simplify right side
    5,925.51x = 37,081,973.62
  5. Step 5: Solve for x
    x = 37,081,973.62/5,925.51
  6. Step 6: Final answer
    x = 6,258.02

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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.