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Finding the Fourth Proportional to 4,702.46, 6,486.46 and 3,026.06

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Solution

The fourth proportional to 4,702.46, 6,486.46 and 3,026.06 is: 4,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.46 : 6,486.46 = 3,026.06 : x
  2. Step 2: Convert to fraction form
    4,702.46/6,486.46 = 3,026.06/x
  3. Step 3: Cross multiply
    4,702.46x = 6,486.46 × 3,026.06
  4. Step 4: Simplify right side
    4,702.46x = 19,628,417.15
  5. Step 5: Solve for x
    x = 19,628,417.15/4,702.46
  6. Step 6: Final answer
    x = 4,174.07

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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.