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Finding the Fourth Proportional to 4,578.75, 6,870.42 and 1,807.38

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Solution

The fourth proportional to 4,578.75, 6,870.42 and 1,807.38 is: 2,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.75 : 6,870.42 = 1,807.38 : x
  2. Step 2: Convert to fraction form
    4,578.75/6,870.42 = 1,807.38/x
  3. Step 3: Cross multiply
    4,578.75x = 6,870.42 × 1,807.38
  4. Step 4: Simplify right side
    4,578.75x = 12,417,459.70
  5. Step 5: Solve for x
    x = 12,417,459.70/4,578.75
  6. Step 6: Final answer
    x = 2,711.98

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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.