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Finding the Fourth Proportional to 4,521.64, 6,784.50 and 2,877.76

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Solution

The fourth proportional to 4,521.64, 6,784.50 and 2,877.76 is: 4,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,521.64 : 6,784.50 = 2,877.76 : x
  2. Step 2: Convert to fraction form
    4,521.64/6,784.50 = 2,877.76/x
  3. Step 3: Cross multiply
    4,521.64x = 6,784.50 × 2,877.76
  4. Step 4: Simplify right side
    4,521.64x = 19,524,162.72
  5. Step 5: Solve for x
    x = 19,524,162.72/4,521.64
  6. Step 6: Final answer
    x = 4,317.94

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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.