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Finding the Fourth Proportional to 4,312.56, 6,465.56 and 2,231.24

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Solution

The fourth proportional to 4,312.56, 6,465.56 and 2,231.24 is: 3,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.56 : 6,465.56 = 2,231.24 : x
  2. Step 2: Convert to fraction form
    4,312.56/6,465.56 = 2,231.24/x
  3. Step 3: Cross multiply
    4,312.56x = 6,465.56 × 2,231.24
  4. Step 4: Simplify right side
    4,312.56x = 14,426,172.61
  5. Step 5: Solve for x
    x = 14,426,172.61/4,312.56
  6. Step 6: Final answer
    x = 3,345.15

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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.