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Finding the Fourth Proportional to 4,492.16, 6,735.80 and 1,529.72

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Solution

The fourth proportional to 4,492.16, 6,735.80 and 1,529.72 is: 2,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.16 : 6,735.80 = 1,529.72 : x
  2. Step 2: Convert to fraction form
    4,492.16/6,735.80 = 1,529.72/x
  3. Step 3: Cross multiply
    4,492.16x = 6,735.80 × 1,529.72
  4. Step 4: Simplify right side
    4,492.16x = 10,303,858.12
  5. Step 5: Solve for x
    x = 10,303,858.12/4,492.16
  6. Step 6: Final answer
    x = 2,293.75

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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.