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Finding the Fourth Proportional to 5,827.86, 8,045.50 and 4,549

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Solution

The fourth proportional to 5,827.86, 8,045.50 and 4,549 is: 6,280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.86 : 8,045.50 = 4,549 : x
  2. Step 2: Convert to fraction form
    5,827.86/8,045.50 = 4,549/x
  3. Step 3: Cross multiply
    5,827.86x = 8,045.50 × 4,549
  4. Step 4: Simplify right side
    5,827.86x = 36,598,979.50
  5. Step 5: Solve for x
    x = 36,598,979.50/5,827.86
  6. Step 6: Final answer
    x = 6,280.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.