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Finding the Fourth Proportional to 4,533.98, 6,253.28 and 3,746.66

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Solution

The fourth proportional to 4,533.98, 6,253.28 and 3,746.66 is: 5,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.98 : 6,253.28 = 3,746.66 : x
  2. Step 2: Convert to fraction form
    4,533.98/6,253.28 = 3,746.66/x
  3. Step 3: Cross multiply
    4,533.98x = 6,253.28 × 3,746.66
  4. Step 4: Simplify right side
    4,533.98x = 23,428,864.05
  5. Step 5: Solve for x
    x = 23,428,864.05/4,533.98
  6. Step 6: Final answer
    x = 5,167.40

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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.