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Finding the Fourth Proportional to 4,909.60, 7,364.40 and 4,696.30

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Solution

The fourth proportional to 4,909.60, 7,364.40 and 4,696.30 is: 7,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.60 : 7,364.40 = 4,696.30 : x
  2. Step 2: Convert to fraction form
    4,909.60/7,364.40 = 4,696.30/x
  3. Step 3: Cross multiply
    4,909.60x = 7,364.40 × 4,696.30
  4. Step 4: Simplify right side
    4,909.60x = 34,585,431.72
  5. Step 5: Solve for x
    x = 34,585,431.72/4,909.60
  6. Step 6: Final answer
    x = 7,044.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.