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Finding the Fourth Proportional to 4,646.23, 6,928.00 and 4,588.85

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Solution

The fourth proportional to 4,646.23, 6,928.00 and 4,588.85 is: 6,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.23 : 6,928.00 = 4,588.85 : x
  2. Step 2: Convert to fraction form
    4,646.23/6,928.00 = 4,588.85/x
  3. Step 3: Cross multiply
    4,646.23x = 6,928.00 × 4,588.85
  4. Step 4: Simplify right side
    4,646.23x = 31,791,558.65
  5. Step 5: Solve for x
    x = 31,791,558.65/4,646.23
  6. Step 6: Final answer
    x = 6,842.45

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