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Finding the Fourth Proportional to 5,501.16, 8,250 and 1,802.78

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Solution

The fourth proportional to 5,501.16, 8,250 and 1,802.78 is: 2,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,501.16 : 8,250 = 1,802.78 : x
  2. Step 2: Convert to fraction form
    5,501.16/8,250 = 1,802.78/x
  3. Step 3: Cross multiply
    5,501.16x = 8,250 × 1,802.78
  4. Step 4: Simplify right side
    5,501.16x = 14,872,935
  5. Step 5: Solve for x
    x = 14,872,935/5,501.16
  6. Step 6: Final answer
    x = 2,703.60

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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.