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Finding the Fourth Proportional to 5,405.70, 7,459.62 and 3,048.30

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Solution

The fourth proportional to 5,405.70, 7,459.62 and 3,048.30 is: 4,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.70 : 7,459.62 = 3,048.30 : x
  2. Step 2: Convert to fraction form
    5,405.70/7,459.62 = 3,048.30/x
  3. Step 3: Cross multiply
    5,405.70x = 7,459.62 × 3,048.30
  4. Step 4: Simplify right side
    5,405.70x = 22,739,159.65
  5. Step 5: Solve for x
    x = 22,739,159.65/5,405.70
  6. Step 6: Final answer
    x = 4,206.52

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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.