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Finding the Fourth Proportional to 5,312.66, 7,973.84 and 4,076.06

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Solution

The fourth proportional to 5,312.66, 7,973.84 and 4,076.06 is: 6,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.66 : 7,973.84 = 4,076.06 : x
  2. Step 2: Convert to fraction form
    5,312.66/7,973.84 = 4,076.06/x
  3. Step 3: Cross multiply
    5,312.66x = 7,973.84 × 4,076.06
  4. Step 4: Simplify right side
    5,312.66x = 32,501,820.59
  5. Step 5: Solve for x
    x = 32,501,820.59/5,312.66
  6. Step 6: Final answer
    x = 6,117.81

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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.