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Finding the Fourth Proportional to 4,767.83, 7,143.95 and 4,585.58

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Solution

The fourth proportional to 4,767.83, 7,143.95 and 4,585.58 is: 6,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.83 : 7,143.95 = 4,585.58 : x
  2. Step 2: Convert to fraction form
    4,767.83/7,143.95 = 4,585.58/x
  3. Step 3: Cross multiply
    4,767.83x = 7,143.95 × 4,585.58
  4. Step 4: Simplify right side
    4,767.83x = 32,759,095.59
  5. Step 5: Solve for x
    x = 32,759,095.59/4,767.83
  6. Step 6: Final answer
    x = 6,870.87

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