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Finding the Fourth Proportional to 4,784.40, 7,165.60 and 4,303.24

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Solution

The fourth proportional to 4,784.40, 7,165.60 and 4,303.24 is: 6,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.40 : 7,165.60 = 4,303.24 : x
  2. Step 2: Convert to fraction form
    4,784.40/7,165.60 = 4,303.24/x
  3. Step 3: Cross multiply
    4,784.40x = 7,165.60 × 4,303.24
  4. Step 4: Simplify right side
    4,784.40x = 30,835,296.54
  5. Step 5: Solve for x
    x = 30,835,296.54/4,784.40
  6. Step 6: Final answer
    x = 6,444.97

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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.