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Finding the Fourth Proportional to 4,585.64, 6,328.12 and 2,596.20

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Solution

The fourth proportional to 4,585.64, 6,328.12 and 2,596.20 is: 3,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.64 : 6,328.12 = 2,596.20 : x
  2. Step 2: Convert to fraction form
    4,585.64/6,328.12 = 2,596.20/x
  3. Step 3: Cross multiply
    4,585.64x = 6,328.12 × 2,596.20
  4. Step 4: Simplify right side
    4,585.64x = 16,429,065.14
  5. Step 5: Solve for x
    x = 16,429,065.14/4,585.64
  6. Step 6: Final answer
    x = 3,582.72

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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.