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Finding the Fourth Proportional to 4,346.40, 6,488.04 and 4,026

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Solution

The fourth proportional to 4,346.40, 6,488.04 and 4,026 is: 6,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.40 : 6,488.04 = 4,026 : x
  2. Step 2: Convert to fraction form
    4,346.40/6,488.04 = 4,026/x
  3. Step 3: Cross multiply
    4,346.40x = 6,488.04 × 4,026
  4. Step 4: Simplify right side
    4,346.40x = 26,120,849.04
  5. Step 5: Solve for x
    x = 26,120,849.04/4,346.40
  6. Step 6: Final answer
    x = 6,009.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.