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Finding the Fourth Proportional to 4,595.52, 6,341.86 and 2,706.50

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Solution

The fourth proportional to 4,595.52, 6,341.86 and 2,706.50 is: 3,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.52 : 6,341.86 = 2,706.50 : x
  2. Step 2: Convert to fraction form
    4,595.52/6,341.86 = 2,706.50/x
  3. Step 3: Cross multiply
    4,595.52x = 6,341.86 × 2,706.50
  4. Step 4: Simplify right side
    4,595.52x = 17,164,244.09
  5. Step 5: Solve for x
    x = 17,164,244.09/4,595.52
  6. Step 6: Final answer
    x = 3,734.99

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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.