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Finding the Fourth Proportional to 4,853.61, 6,700.40 and 3,710.00

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Solution

The fourth proportional to 4,853.61, 6,700.40 and 3,710.00 is: 5,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.61 : 6,700.40 = 3,710.00 : x
  2. Step 2: Convert to fraction form
    4,853.61/6,700.40 = 3,710.00/x
  3. Step 3: Cross multiply
    4,853.61x = 6,700.40 × 3,710.00
  4. Step 4: Simplify right side
    4,853.61x = 24,858,431.95
  5. Step 5: Solve for x
    x = 24,858,431.95/4,853.61
  6. Step 6: Final answer
    x = 5,121.64

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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.