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Finding the Fourth Proportional to 5,420.64, 8,117.68 and 4,477.82

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Solution

The fourth proportional to 5,420.64, 8,117.68 and 4,477.82 is: 6,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.64 : 8,117.68 = 4,477.82 : x
  2. Step 2: Convert to fraction form
    5,420.64/8,117.68 = 4,477.82/x
  3. Step 3: Cross multiply
    5,420.64x = 8,117.68 × 4,477.82
  4. Step 4: Simplify right side
    5,420.64x = 36,349,509.86
  5. Step 5: Solve for x
    x = 36,349,509.86/5,420.64
  6. Step 6: Final answer
    x = 6,705.76

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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.