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Finding the Fourth Proportional to 4,540.02, 6,810.18 and 2,565.78

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Solution

The fourth proportional to 4,540.02, 6,810.18 and 2,565.78 is: 3,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.02 : 6,810.18 = 2,565.78 : x
  2. Step 2: Convert to fraction form
    4,540.02/6,810.18 = 2,565.78/x
  3. Step 3: Cross multiply
    4,540.02x = 6,810.18 × 2,565.78
  4. Step 4: Simplify right side
    4,540.02x = 17,473,423.64
  5. Step 5: Solve for x
    x = 17,473,423.64/4,540.02
  6. Step 6: Final answer
    x = 3,848.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.