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Finding the Fourth Proportional to 5,701.56, 7,870.02 and 3,343.64

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Solution

The fourth proportional to 5,701.56, 7,870.02 and 3,343.64 is: 4,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.56 : 7,870.02 = 3,343.64 : x
  2. Step 2: Convert to fraction form
    5,701.56/7,870.02 = 3,343.64/x
  3. Step 3: Cross multiply
    5,701.56x = 7,870.02 × 3,343.64
  4. Step 4: Simplify right side
    5,701.56x = 26,314,513.67
  5. Step 5: Solve for x
    x = 26,314,513.67/5,701.56
  6. Step 6: Final answer
    x = 4,615.32

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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.