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Finding the Fourth Proportional to 4,735.60, 7,103.40 and 4,030.90

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Solution

The fourth proportional to 4,735.60, 7,103.40 and 4,030.90 is: 6,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.60 : 7,103.40 = 4,030.90 : x
  2. Step 2: Convert to fraction form
    4,735.60/7,103.40 = 4,030.90/x
  3. Step 3: Cross multiply
    4,735.60x = 7,103.40 × 4,030.90
  4. Step 4: Simplify right side
    4,735.60x = 28,633,095.06
  5. Step 5: Solve for x
    x = 28,633,095.06/4,735.60
  6. Step 6: Final answer
    x = 6,046.35

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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.