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Finding the Fourth Proportional to 5,095.40, 7,643.10 and 4,706.60

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Solution

The fourth proportional to 5,095.40, 7,643.10 and 4,706.60 is: 7,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.40 : 7,643.10 = 4,706.60 : x
  2. Step 2: Convert to fraction form
    5,095.40/7,643.10 = 4,706.60/x
  3. Step 3: Cross multiply
    5,095.40x = 7,643.10 × 4,706.60
  4. Step 4: Simplify right side
    5,095.40x = 35,973,014.46
  5. Step 5: Solve for x
    x = 35,973,014.46/5,095.40
  6. Step 6: Final answer
    x = 7,059.90

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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.