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Finding the Fourth Proportional to 5,792.83, 8,646.86 and 4,976.35

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Solution

The fourth proportional to 5,792.83, 8,646.86 and 4,976.35 is: 7,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.83 : 8,646.86 = 4,976.35 : x
  2. Step 2: Convert to fraction form
    5,792.83/8,646.86 = 4,976.35/x
  3. Step 3: Cross multiply
    5,792.83x = 8,646.86 × 4,976.35
  4. Step 4: Simplify right side
    5,792.83x = 43,029,798.50
  5. Step 5: Solve for x
    x = 43,029,798.50/5,792.83
  6. Step 6: Final answer
    x = 7,428.11

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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.