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Finding the Fourth Proportional to 4,746.24, 7,119 and 1,459.08

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Solution

The fourth proportional to 4,746.24, 7,119 and 1,459.08 is: 2,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.24 : 7,119 = 1,459.08 : x
  2. Step 2: Convert to fraction form
    4,746.24/7,119 = 1,459.08/x
  3. Step 3: Cross multiply
    4,746.24x = 7,119 × 1,459.08
  4. Step 4: Simplify right side
    4,746.24x = 10,387,190.52
  5. Step 5: Solve for x
    x = 10,387,190.52/4,746.24
  6. Step 6: Final answer
    x = 2,188.51

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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.