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Finding the Fourth Proportional to 4,565.76, 6,300.76 and 2,576.24

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Solution

The fourth proportional to 4,565.76, 6,300.76 and 2,576.24 is: 3,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.76 : 6,300.76 = 2,576.24 : x
  2. Step 2: Convert to fraction form
    4,565.76/6,300.76 = 2,576.24/x
  3. Step 3: Cross multiply
    4,565.76x = 6,300.76 × 2,576.24
  4. Step 4: Simplify right side
    4,565.76x = 16,232,269.94
  5. Step 5: Solve for x
    x = 16,232,269.94/4,565.76
  6. Step 6: Final answer
    x = 3,555.22

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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.