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Finding the Fourth Proportional to 5,263.08, 7,856.04 and 4,640.32

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Solution

The fourth proportional to 5,263.08, 7,856.04 and 4,640.32 is: 6,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.08 : 7,856.04 = 4,640.32 : x
  2. Step 2: Convert to fraction form
    5,263.08/7,856.04 = 4,640.32/x
  3. Step 3: Cross multiply
    5,263.08x = 7,856.04 × 4,640.32
  4. Step 4: Simplify right side
    5,263.08x = 36,454,539.53
  5. Step 5: Solve for x
    x = 36,454,539.53/5,263.08
  6. Step 6: Final answer
    x = 6,926.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.