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Finding the Fourth Proportional to 4,309.32, 6,466.32 and 1,712.28

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Solution

The fourth proportional to 4,309.32, 6,466.32 and 1,712.28 is: 2,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.32 : 6,466.32 = 1,712.28 : x
  2. Step 2: Convert to fraction form
    4,309.32/6,466.32 = 1,712.28/x
  3. Step 3: Cross multiply
    4,309.32x = 6,466.32 × 1,712.28
  4. Step 4: Simplify right side
    4,309.32x = 11,072,150.41
  5. Step 5: Solve for x
    x = 11,072,150.41/4,309.32
  6. Step 6: Final answer
    x = 2,569.35

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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.