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Finding the Fourth Proportional to 4,901.64, 7,353.68 and 2,437.64

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Solution

The fourth proportional to 4,901.64, 7,353.68 and 2,437.64 is: 3,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.64 : 7,353.68 = 2,437.64 : x
  2. Step 2: Convert to fraction form
    4,901.64/7,353.68 = 2,437.64/x
  3. Step 3: Cross multiply
    4,901.64x = 7,353.68 × 2,437.64
  4. Step 4: Simplify right side
    4,901.64x = 17,925,624.52
  5. Step 5: Solve for x
    x = 17,925,624.52/4,901.64
  6. Step 6: Final answer
    x = 3,657.07

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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.