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Finding the Fourth Proportional to 3,153.69, 4,347.59 and 2,312.91

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Solution

The fourth proportional to 3,153.69, 4,347.59 and 2,312.91 is: 3,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.69 : 4,347.59 = 2,312.91 : x
  2. Step 2: Convert to fraction form
    3,153.69/4,347.59 = 2,312.91/x
  3. Step 3: Cross multiply
    3,153.69x = 4,347.59 × 2,312.91
  4. Step 4: Simplify right side
    3,153.69x = 10,055,572.82
  5. Step 5: Solve for x
    x = 10,055,572.82/3,153.69
  6. Step 6: Final answer
    x = 3,188.51

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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.