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Finding the Fourth Proportional to 4,705.52, 6,492.28 and 3,707.70

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Solution

The fourth proportional to 4,705.52, 6,492.28 and 3,707.70 is: 5,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.52 : 6,492.28 = 3,707.70 : x
  2. Step 2: Convert to fraction form
    4,705.52/6,492.28 = 3,707.70/x
  3. Step 3: Cross multiply
    4,705.52x = 6,492.28 × 3,707.70
  4. Step 4: Simplify right side
    4,705.52x = 24,071,426.56
  5. Step 5: Solve for x
    x = 24,071,426.56/4,705.52
  6. Step 6: Final answer
    x = 5,115.57

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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.