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Finding the Fourth Proportional to 3,442.14, 4,748.03 and 3,001.10

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Solution

The fourth proportional to 3,442.14, 4,748.03 and 3,001.10 is: 4,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.14 : 4,748.03 = 3,001.10 : x
  2. Step 2: Convert to fraction form
    3,442.14/4,748.03 = 3,001.10/x
  3. Step 3: Cross multiply
    3,442.14x = 4,748.03 × 3,001.10
  4. Step 4: Simplify right side
    3,442.14x = 14,249,274.09
  5. Step 5: Solve for x
    x = 14,249,274.09/3,442.14
  6. Step 6: Final answer
    x = 4,139.66

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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.