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Finding the Fourth Proportional to 4,152.70, 5,730.51 and 2,580.76

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Solution

The fourth proportional to 4,152.70, 5,730.51 and 2,580.76 is: 3,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.70 : 5,730.51 = 2,580.76 : x
  2. Step 2: Convert to fraction form
    4,152.70/5,730.51 = 2,580.76/x
  3. Step 3: Cross multiply
    4,152.70x = 5,730.51 × 2,580.76
  4. Step 4: Simplify right side
    4,152.70x = 14,789,070.99
  5. Step 5: Solve for x
    x = 14,789,070.99/4,152.70
  6. Step 6: Final answer
    x = 3,561.31

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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.