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Finding the Fourth Proportional to 5,024.58, 7,575.40 and 4,685.82

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Solution

The fourth proportional to 5,024.58, 7,575.40 and 4,685.82 is: 7,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.58 : 7,575.40 = 4,685.82 : x
  2. Step 2: Convert to fraction form
    5,024.58/7,575.40 = 4,685.82/x
  3. Step 3: Cross multiply
    5,024.58x = 7,575.40 × 4,685.82
  4. Step 4: Simplify right side
    5,024.58x = 35,496,960.83
  5. Step 5: Solve for x
    x = 35,496,960.83/5,024.58
  6. Step 6: Final answer
    x = 7,064.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.