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Finding the Fourth Proportional to 5,606.32, 8,406.12 and 4,784.88

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Solution

The fourth proportional to 5,606.32, 8,406.12 and 4,784.88 is: 7,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.32 : 8,406.12 = 4,784.88 : x
  2. Step 2: Convert to fraction form
    5,606.32/8,406.12 = 4,784.88/x
  3. Step 3: Cross multiply
    5,606.32x = 8,406.12 × 4,784.88
  4. Step 4: Simplify right side
    5,606.32x = 40,222,275.47
  5. Step 5: Solve for x
    x = 40,222,275.47/5,606.32
  6. Step 6: Final answer
    x = 7,174.45

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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.