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Finding the Fourth Proportional to 3,501.32, 4,802.84 and 3,428.40

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Solution

The fourth proportional to 3,501.32, 4,802.84 and 3,428.40 is: 4,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.32 : 4,802.84 = 3,428.40 : x
  2. Step 2: Convert to fraction form
    3,501.32/4,802.84 = 3,428.40/x
  3. Step 3: Cross multiply
    3,501.32x = 4,802.84 × 3,428.40
  4. Step 4: Simplify right side
    3,501.32x = 16,466,056.66
  5. Step 5: Solve for x
    x = 16,466,056.66/3,501.32
  6. Step 6: Final answer
    x = 4,702.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.