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Finding the Fourth Proportional to 5,208.02, 7,810.18 and 1,697.08

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Solution

The fourth proportional to 5,208.02, 7,810.18 and 1,697.08 is: 2,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.02 : 7,810.18 = 1,697.08 : x
  2. Step 2: Convert to fraction form
    5,208.02/7,810.18 = 1,697.08/x
  3. Step 3: Cross multiply
    5,208.02x = 7,810.18 × 1,697.08
  4. Step 4: Simplify right side
    5,208.02x = 13,254,500.27
  5. Step 5: Solve for x
    x = 13,254,500.27/5,208.02
  6. Step 6: Final answer
    x = 2,545.02

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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.