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Finding the Fourth Proportional to 5,038.98, 6,953.67 and 2,801.06

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Solution

The fourth proportional to 5,038.98, 6,953.67 and 2,801.06 is: 3,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.98 : 6,953.67 = 2,801.06 : x
  2. Step 2: Convert to fraction form
    5,038.98/6,953.67 = 2,801.06/x
  3. Step 3: Cross multiply
    5,038.98x = 6,953.67 × 2,801.06
  4. Step 4: Simplify right side
    5,038.98x = 19,477,612.12
  5. Step 5: Solve for x
    x = 19,477,612.12/5,038.98
  6. Step 6: Final answer
    x = 3,865.39

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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.