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Finding the Fourth Proportional to 4,565.06, 6,294.07 and 3,809.93

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Solution

The fourth proportional to 4,565.06, 6,294.07 and 3,809.93 is: 5,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.06 : 6,294.07 = 3,809.93 : x
  2. Step 2: Convert to fraction form
    4,565.06/6,294.07 = 3,809.93/x
  3. Step 3: Cross multiply
    4,565.06x = 6,294.07 × 3,809.93
  4. Step 4: Simplify right side
    4,565.06x = 23,979,966.12
  5. Step 5: Solve for x
    x = 23,979,966.12/4,565.06
  6. Step 6: Final answer
    x = 5,252.94

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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.