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Finding the Fourth Proportional to 5,735.16, 8,602.74 and 4,707

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Solution

The fourth proportional to 5,735.16, 8,602.74 and 4,707 is: 7,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.16 : 8,602.74 = 4,707 : x
  2. Step 2: Convert to fraction form
    5,735.16/8,602.74 = 4,707/x
  3. Step 3: Cross multiply
    5,735.16x = 8,602.74 × 4,707
  4. Step 4: Simplify right side
    5,735.16x = 40,493,097.18
  5. Step 5: Solve for x
    x = 40,493,097.18/5,735.16
  6. Step 6: Final answer
    x = 7,060.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.