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Finding the Fourth Proportional to 4,173.04, 5,758.72 and 2,310

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Solution

The fourth proportional to 4,173.04, 5,758.72 and 2,310 is: 3,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.04 : 5,758.72 = 2,310 : x
  2. Step 2: Convert to fraction form
    4,173.04/5,758.72 = 2,310/x
  3. Step 3: Cross multiply
    4,173.04x = 5,758.72 × 2,310
  4. Step 4: Simplify right side
    4,173.04x = 13,302,643.20
  5. Step 5: Solve for x
    x = 13,302,643.20/4,173.04
  6. Step 6: Final answer
    x = 3,187.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.