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Finding the Fourth Proportional to 5,669.02, 8,510.01 and 5,345.02

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Solution

The fourth proportional to 5,669.02, 8,510.01 and 5,345.02 is: 8,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.02 : 8,510.01 = 5,345.02 : x
  2. Step 2: Convert to fraction form
    5,669.02/8,510.01 = 5,345.02/x
  3. Step 3: Cross multiply
    5,669.02x = 8,510.01 × 5,345.02
  4. Step 4: Simplify right side
    5,669.02x = 45,486,173.65
  5. Step 5: Solve for x
    x = 45,486,173.65/5,669.02
  6. Step 6: Final answer
    x = 8,023.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.