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Finding the Fourth Proportional to 4,152.59, 5,730.14 and 2,558.99

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Solution

The fourth proportional to 4,152.59, 5,730.14 and 2,558.99 is: 3,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.59 : 5,730.14 = 2,558.99 : x
  2. Step 2: Convert to fraction form
    4,152.59/5,730.14 = 2,558.99/x
  3. Step 3: Cross multiply
    4,152.59x = 5,730.14 × 2,558.99
  4. Step 4: Simplify right side
    4,152.59x = 14,663,370.96
  5. Step 5: Solve for x
    x = 14,663,370.96/4,152.59
  6. Step 6: Final answer
    x = 3,531.14

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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.