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Finding the Fourth Proportional to 4,303.52, 6,449.76 and 3,130.56

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Solution

The fourth proportional to 4,303.52, 6,449.76 and 3,130.56 is: 4,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.52 : 6,449.76 = 3,130.56 : x
  2. Step 2: Convert to fraction form
    4,303.52/6,449.76 = 3,130.56/x
  3. Step 3: Cross multiply
    4,303.52x = 6,449.76 × 3,130.56
  4. Step 4: Simplify right side
    4,303.52x = 20,191,360.67
  5. Step 5: Solve for x
    x = 20,191,360.67/4,303.52
  6. Step 6: Final answer
    x = 4,691.82

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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.