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Finding the Fourth Proportional to 4,565.76, 6,300.64 and 2,576

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Solution

The fourth proportional to 4,565.76, 6,300.64 and 2,576 is: 3,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.76 : 6,300.64 = 2,576 : x
  2. Step 2: Convert to fraction form
    4,565.76/6,300.64 = 2,576/x
  3. Step 3: Cross multiply
    4,565.76x = 6,300.64 × 2,576
  4. Step 4: Simplify right side
    4,565.76x = 16,230,448.64
  5. Step 5: Solve for x
    x = 16,230,448.64/4,565.76
  6. Step 6: Final answer
    x = 3,554.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.