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Finding the Fourth Proportional to 4,575.45, 6,864.02 and 1,802.07

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Solution

The fourth proportional to 4,575.45, 6,864.02 and 1,802.07 is: 2,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.45 : 6,864.02 = 1,802.07 : x
  2. Step 2: Convert to fraction form
    4,575.45/6,864.02 = 1,802.07/x
  3. Step 3: Cross multiply
    4,575.45x = 6,864.02 × 1,802.07
  4. Step 4: Simplify right side
    4,575.45x = 12,369,444.52
  5. Step 5: Solve for x
    x = 12,369,444.52/4,575.45
  6. Step 6: Final answer
    x = 2,703.44

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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.