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Finding the Fourth Proportional to 4,702.13, 6,491.88 and 3,026.45

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Solution

The fourth proportional to 4,702.13, 6,491.88 and 3,026.45 is: 4,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.13 : 6,491.88 = 3,026.45 : x
  2. Step 2: Convert to fraction form
    4,702.13/6,491.88 = 3,026.45/x
  3. Step 3: Cross multiply
    4,702.13x = 6,491.88 × 3,026.45
  4. Step 4: Simplify right side
    4,702.13x = 19,647,317.77
  5. Step 5: Solve for x
    x = 19,647,317.77/4,702.13
  6. Step 6: Final answer
    x = 4,178.39

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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.