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Finding the Fourth Proportional to 6,337.56, 8,746.92 and 3,686.51

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Solution

The fourth proportional to 6,337.56, 8,746.92 and 3,686.51 is: 5,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.56 : 8,746.92 = 3,686.51 : x
  2. Step 2: Convert to fraction form
    6,337.56/8,746.92 = 3,686.51/x
  3. Step 3: Cross multiply
    6,337.56x = 8,746.92 × 3,686.51
  4. Step 4: Simplify right side
    6,337.56x = 32,245,564.31
  5. Step 5: Solve for x
    x = 32,245,564.31/6,337.56
  6. Step 6: Final answer
    x = 5,088.01

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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.