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Finding the Fourth Proportional to 5,208.18, 7,809.75 and 1,509.40

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Solution

The fourth proportional to 5,208.18, 7,809.75 and 1,509.40 is: 2,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.18 : 7,809.75 = 1,509.40 : x
  2. Step 2: Convert to fraction form
    5,208.18/7,809.75 = 1,509.40/x
  3. Step 3: Cross multiply
    5,208.18x = 7,809.75 × 1,509.40
  4. Step 4: Simplify right side
    5,208.18x = 11,788,036.65
  5. Step 5: Solve for x
    x = 11,788,036.65/5,208.18
  6. Step 6: Final answer
    x = 2,263.37

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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.