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Finding the Fourth Proportional to 4,686.35, 6,468 and 3,565.58

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Solution

The fourth proportional to 4,686.35, 6,468 and 3,565.58 is: 4,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.35 : 6,468 = 3,565.58 : x
  2. Step 2: Convert to fraction form
    4,686.35/6,468 = 3,565.58/x
  3. Step 3: Cross multiply
    4,686.35x = 6,468 × 3,565.58
  4. Step 4: Simplify right side
    4,686.35x = 23,062,171.44
  5. Step 5: Solve for x
    x = 23,062,171.44/4,686.35
  6. Step 6: Final answer
    x = 4,921.14

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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.