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Finding the Fourth Proportional to 4,803.56, 7,206.31 and 2,030.24

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Solution

The fourth proportional to 4,803.56, 7,206.31 and 2,030.24 is: 3,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.56 : 7,206.31 = 2,030.24 : x
  2. Step 2: Convert to fraction form
    4,803.56/7,206.31 = 2,030.24/x
  3. Step 3: Cross multiply
    4,803.56x = 7,206.31 × 2,030.24
  4. Step 4: Simplify right side
    4,803.56x = 14,630,538.81
  5. Step 5: Solve for x
    x = 14,630,538.81/4,803.56
  6. Step 6: Final answer
    x = 3,045.77

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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.