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Finding the Fourth Proportional to 5,051.64, 6,971.54 and 3,062.28

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Solution

The fourth proportional to 5,051.64, 6,971.54 and 3,062.28 is: 4,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.64 : 6,971.54 = 3,062.28 : x
  2. Step 2: Convert to fraction form
    5,051.64/6,971.54 = 3,062.28/x
  3. Step 3: Cross multiply
    5,051.64x = 6,971.54 × 3,062.28
  4. Step 4: Simplify right side
    5,051.64x = 21,348,807.51
  5. Step 5: Solve for x
    x = 21,348,807.51/5,051.64
  6. Step 6: Final answer
    x = 4,226.11

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Why These Related Problems?

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