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Finding the Fourth Proportional to 4,492.12, 6,737.28 and 1,530.24

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Solution

The fourth proportional to 4,492.12, 6,737.28 and 1,530.24 is: 2,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.12 : 6,737.28 = 1,530.24 : x
  2. Step 2: Convert to fraction form
    4,492.12/6,737.28 = 1,530.24/x
  3. Step 3: Cross multiply
    4,492.12x = 6,737.28 × 1,530.24
  4. Step 4: Simplify right side
    4,492.12x = 10,309,655.35
  5. Step 5: Solve for x
    x = 10,309,655.35/4,492.12
  6. Step 6: Final answer
    x = 2,295.05

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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.