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Finding the Fourth Proportional to 6,264.40, 8,644.29 and 3,746.02

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Solution

The fourth proportional to 6,264.40, 8,644.29 and 3,746.02 is: 5,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.40 : 8,644.29 = 3,746.02 : x
  2. Step 2: Convert to fraction form
    6,264.40/8,644.29 = 3,746.02/x
  3. Step 3: Cross multiply
    6,264.40x = 8,644.29 × 3,746.02
  4. Step 4: Simplify right side
    6,264.40x = 32,381,683.23
  5. Step 5: Solve for x
    x = 32,381,683.23/6,264.40
  6. Step 6: Final answer
    x = 5,169.16

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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.