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Finding the Fourth Proportional to 6,875.78, 9,488.58 and 3,731.98

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Solution

The fourth proportional to 6,875.78, 9,488.58 and 3,731.98 is: 5,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.78 : 9,488.58 = 3,731.98 : x
  2. Step 2: Convert to fraction form
    6,875.78/9,488.58 = 3,731.98/x
  3. Step 3: Cross multiply
    6,875.78x = 9,488.58 × 3,731.98
  4. Step 4: Simplify right side
    6,875.78x = 35,411,190.79
  5. Step 5: Solve for x
    x = 35,411,190.79/6,875.78
  6. Step 6: Final answer
    x = 5,150.13

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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.