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Finding the Fourth Proportional to 4,132.84, 5,703.28 and 2,364.32

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Solution

The fourth proportional to 4,132.84, 5,703.28 and 2,364.32 is: 3,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.84 : 5,703.28 = 2,364.32 : x
  2. Step 2: Convert to fraction form
    4,132.84/5,703.28 = 2,364.32/x
  3. Step 3: Cross multiply
    4,132.84x = 5,703.28 × 2,364.32
  4. Step 4: Simplify right side
    4,132.84x = 13,484,378.97
  5. Step 5: Solve for x
    x = 13,484,378.97/4,132.84
  6. Step 6: Final answer
    x = 3,262.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.