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Finding the Fourth Proportional to 4,643.74, 6,404.01 and 3,702.66

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Solution

The fourth proportional to 4,643.74, 6,404.01 and 3,702.66 is: 5,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.74 : 6,404.01 = 3,702.66 : x
  2. Step 2: Convert to fraction form
    4,643.74/6,404.01 = 3,702.66/x
  3. Step 3: Cross multiply
    4,643.74x = 6,404.01 × 3,702.66
  4. Step 4: Simplify right side
    4,643.74x = 23,711,871.67
  5. Step 5: Solve for x
    x = 23,711,871.67/4,643.74
  6. Step 6: Final answer
    x = 5,106.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.