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Finding the Fourth Proportional to 4,830.94, 7,252.50 and 4,176.98

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Solution

The fourth proportional to 4,830.94, 7,252.50 and 4,176.98 is: 6,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.94 : 7,252.50 = 4,176.98 : x
  2. Step 2: Convert to fraction form
    4,830.94/7,252.50 = 4,176.98/x
  3. Step 3: Cross multiply
    4,830.94x = 7,252.50 × 4,176.98
  4. Step 4: Simplify right side
    4,830.94x = 30,293,547.45
  5. Step 5: Solve for x
    x = 30,293,547.45/4,830.94
  6. Step 6: Final answer
    x = 6,270.74

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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.