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Finding the Fourth Proportional to 5,698.64, 8,548.86 and 2,411.76

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Solution

The fourth proportional to 5,698.64, 8,548.86 and 2,411.76 is: 3,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.64 : 8,548.86 = 2,411.76 : x
  2. Step 2: Convert to fraction form
    5,698.64/8,548.86 = 2,411.76/x
  3. Step 3: Cross multiply
    5,698.64x = 8,548.86 × 2,411.76
  4. Step 4: Simplify right side
    5,698.64x = 20,617,798.59
  5. Step 5: Solve for x
    x = 20,617,798.59/5,698.64
  6. Step 6: Final answer
    x = 3,618.02

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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.