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Finding the Fourth Proportional to 4,874.68, 7,301.08 and 4,710.66

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Solution

The fourth proportional to 4,874.68, 7,301.08 and 4,710.66 is: 7,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.68 : 7,301.08 = 4,710.66 : x
  2. Step 2: Convert to fraction form
    4,874.68/7,301.08 = 4,710.66/x
  3. Step 3: Cross multiply
    4,874.68x = 7,301.08 × 4,710.66
  4. Step 4: Simplify right side
    4,874.68x = 34,392,905.51
  5. Step 5: Solve for x
    x = 34,392,905.51/4,874.68
  6. Step 6: Final answer
    x = 7,055.42

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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.