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Finding the Fourth Proportional to 4,707.41, 6,490.91 and 3,854.00

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Solution

The fourth proportional to 4,707.41, 6,490.91 and 3,854.00 is: 5,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.41 : 6,490.91 = 3,854.00 : x
  2. Step 2: Convert to fraction form
    4,707.41/6,490.91 = 3,854.00/x
  3. Step 3: Cross multiply
    4,707.41x = 6,490.91 × 3,854.00
  4. Step 4: Simplify right side
    4,707.41x = 25,015,915.42
  5. Step 5: Solve for x
    x = 25,015,915.42/4,707.41
  6. Step 6: Final answer
    x = 5,314.16

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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.