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Finding the Fourth Proportional to 4,688.82, 7,044.18 and 4,032.72

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Solution

The fourth proportional to 4,688.82, 7,044.18 and 4,032.72 is: 6,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.82 : 7,044.18 = 4,032.72 : x
  2. Step 2: Convert to fraction form
    4,688.82/7,044.18 = 4,032.72/x
  3. Step 3: Cross multiply
    4,688.82x = 7,044.18 × 4,032.72
  4. Step 4: Simplify right side
    4,688.82x = 28,407,205.57
  5. Step 5: Solve for x
    x = 28,407,205.57/4,688.82
  6. Step 6: Final answer
    x = 6,058.50

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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.