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Finding the Fourth Proportional to 4,580.13, 6,867.23 and 1,658.06

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Solution

The fourth proportional to 4,580.13, 6,867.23 and 1,658.06 is: 2,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.13 : 6,867.23 = 1,658.06 : x
  2. Step 2: Convert to fraction form
    4,580.13/6,867.23 = 1,658.06/x
  3. Step 3: Cross multiply
    4,580.13x = 6,867.23 × 1,658.06
  4. Step 4: Simplify right side
    4,580.13x = 11,386,236.75
  5. Step 5: Solve for x
    x = 11,386,236.75/4,580.13
  6. Step 6: Final answer
    x = 2,486.01

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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.