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Finding the Fourth Proportional to 4,718.52, 6,511.62 and 2,594.30

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Solution

The fourth proportional to 4,718.52, 6,511.62 and 2,594.30 is: 3,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.52 : 6,511.62 = 2,594.30 : x
  2. Step 2: Convert to fraction form
    4,718.52/6,511.62 = 2,594.30/x
  3. Step 3: Cross multiply
    4,718.52x = 6,511.62 × 2,594.30
  4. Step 4: Simplify right side
    4,718.52x = 16,893,095.77
  5. Step 5: Solve for x
    x = 16,893,095.77/4,718.52
  6. Step 6: Final answer
    x = 3,580.17

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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.