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Finding the Fourth Proportional to 3,624.64, 5,000.80 and 2,298.16

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Solution

The fourth proportional to 3,624.64, 5,000.80 and 2,298.16 is: 3,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.64 : 5,000.80 = 2,298.16 : x
  2. Step 2: Convert to fraction form
    3,624.64/5,000.80 = 2,298.16/x
  3. Step 3: Cross multiply
    3,624.64x = 5,000.80 × 2,298.16
  4. Step 4: Simplify right side
    3,624.64x = 11,492,638.53
  5. Step 5: Solve for x
    x = 11,492,638.53/3,624.64
  6. Step 6: Final answer
    x = 3,170.70

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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.