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Finding the Fourth Proportional to 4,269.68, 5,894.88 and 3,485.60

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Solution

The fourth proportional to 4,269.68, 5,894.88 and 3,485.60 is: 4,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.68 : 5,894.88 = 3,485.60 : x
  2. Step 2: Convert to fraction form
    4,269.68/5,894.88 = 3,485.60/x
  3. Step 3: Cross multiply
    4,269.68x = 5,894.88 × 3,485.60
  4. Step 4: Simplify right side
    4,269.68x = 20,547,193.73
  5. Step 5: Solve for x
    x = 20,547,193.73/4,269.68
  6. Step 6: Final answer
    x = 4,812.35

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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.