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Finding the Fourth Proportional to 4,847.64, 7,254.99 and 4,068.51

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Solution

The fourth proportional to 4,847.64, 7,254.99 and 4,068.51 is: 6,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.64 : 7,254.99 = 4,068.51 : x
  2. Step 2: Convert to fraction form
    4,847.64/7,254.99 = 4,068.51/x
  3. Step 3: Cross multiply
    4,847.64x = 7,254.99 × 4,068.51
  4. Step 4: Simplify right side
    4,847.64x = 29,516,999.36
  5. Step 5: Solve for x
    x = 29,516,999.36/4,847.64
  6. Step 6: Final answer
    x = 6,088.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.