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Finding the Fourth Proportional to 4,923.77, 6,829.62 and 4,746.45

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Solution

The fourth proportional to 4,923.77, 6,829.62 and 4,746.45 is: 6,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.77 : 6,829.62 = 4,746.45 : x
  2. Step 2: Convert to fraction form
    4,923.77/6,829.62 = 4,746.45/x
  3. Step 3: Cross multiply
    4,923.77x = 6,829.62 × 4,746.45
  4. Step 4: Simplify right side
    4,923.77x = 32,416,449.85
  5. Step 5: Solve for x
    x = 32,416,449.85/4,923.77
  6. Step 6: Final answer
    x = 6,583.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.