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Finding the Fourth Proportional to 4,585.86, 6,328.71 and 2,596.50

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Solution

The fourth proportional to 4,585.86, 6,328.71 and 2,596.50 is: 3,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.86 : 6,328.71 = 2,596.50 : x
  2. Step 2: Convert to fraction form
    4,585.86/6,328.71 = 2,596.50/x
  3. Step 3: Cross multiply
    4,585.86x = 6,328.71 × 2,596.50
  4. Step 4: Simplify right side
    4,585.86x = 16,432,495.52
  5. Step 5: Solve for x
    x = 16,432,495.52/4,585.86
  6. Step 6: Final answer
    x = 3,583.30

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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.