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Finding the Fourth Proportional to 4,782.16, 7,191.06 and 4,607.20

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Solution

The fourth proportional to 4,782.16, 7,191.06 and 4,607.20 is: 6,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.16 : 7,191.06 = 4,607.20 : x
  2. Step 2: Convert to fraction form
    4,782.16/7,191.06 = 4,607.20/x
  3. Step 3: Cross multiply
    4,782.16x = 7,191.06 × 4,607.20
  4. Step 4: Simplify right side
    4,782.16x = 33,130,651.63
  5. Step 5: Solve for x
    x = 33,130,651.63/4,782.16
  6. Step 6: Final answer
    x = 6,927.97

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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.